how to find greatest common factor with prime factorization?
177627
['List the prime factors of each number.', "Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.", 'Multiply all the circled numbers. The result is the GCF.']
193511
['The prime factorization of 7 is: 7.', 'The prime factorization of 8 is: 2 x 2 x 2.', 'The prime factors and multiplicities 7 and 8 have in common are: 1.', '1 is the gcf of 7 and 8.', 'gcf(7,8) = 1.']
1235632
The prime factors they have in common are 3 x 5. 3 x 5 = 15. The greatest common factor is 15. When two numbers have no prime factors in common, their greatest common factor is 1.
1299218
List the prime factors of each number. Find the intersection of these primes. Multiply these numbers: 2 × 3 = 6 2\times 3=6 2×3=6. This is the GCF.
1311496
Greatest common factor (GCF) of 8 and 10 is 2. We will now calculate the prime factors of 8 and 10, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8 and 10.
956522
['The prime factorization of 21 is: 3 x 7.', 'The prime factorization of 42 is: 2 x 3 x 7.', 'The prime factors and multiplicities 21 and 42 have in common are: 3 x 7.', '3 x 7 is the gcf of 21 and 42.', 'gcf(21,42) = 21.']
1416826
Greatest common factor (GCF) of 40 and 32 is 8. We will now calculate the prime factors of 40 and 32, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40 and 32.
181556
Greatest common factor (GCF) of 4 and 6 is 2. We will now calculate the prime factors of 4 and 6, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 6.
724934
Greatest common factor (GCF) of 4 and 12 is 4. We will now calculate the prime factors of 4 and 12, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 12.
841084
Alternatively, the gcf of 9 and 10 can be found using the prime factorization of 9 and 10: The prime factorization of 9 is: 3 x 3. The prime factorization of 10 is: 2 x 5. The prime factors and multiplicities 9 and 10 have in common are: 1.
520154
The prime factorization of 90 is: 2 x 3 x 3 x 5. The prime factors and multiplicities 42 and 90 have in common are: 2 x 3. 2 x 3 is the gcf of 42 and 90. gcf(42,90) = 6.
434719
['The prime factorization of 4 is: 2 x 2.', 'The prime factorization of 40 is: 2 x 2 x 2 x 5.', 'Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(4,4) = 40.']
1174811
['Factor each coefficient into primes. Write all variables with exponents in expanded form.', 'List all factors—matching common factors in a column. In each column, circle the common factors.', 'Bring down the common factors that all expressions share.', 'Multiply the factors.']
275980
['The prime factorization of 6 is: 2 x 3.', 'The prime factorization of 60 is: 2 x 2 x 3 x 5.', 'Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(6,6) = 60.']
1278776
Greatest common factor (GCF) of 40 and 60 is 20. We will now calculate the prime factors of 40 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40 and 60.
398178
Greatest common factor (GCF) of 3 and 7 is 1. We will now calculate the prime factors of 3 and 7, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3 and 7.
1313088
['Enter GCF or LCM numbers: Number 1. ... ', 'Determine the factors for 3 up to 1 since that is the minimum of the 2 numbers. ... ', 'Determine the factors for 1 up to 1 since that is the minimum of the 2 numbers. The greatest common factor between them is 1. ... ', 'Greatest Common Factor and Least Common Multiple Video. MathCelebritydotcom.']