What is the Greatest Common Factor of 64672 and 64684?

Greatest common factor (GCF) of 64672 and 64684 is 4.

GCF(64672,64684) = 4

We will now calculate the prime factors of 64672 and 64684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64672 and 64684.

How to find the GCF of 64672 and 64684?

We will first find the prime factorization of 64672 and 64684. After we will calculate the factors of 64672 and 64684 and find the biggest common factor number .

Step-1: Prime Factorization of 64672

Prime factors of 64672 are 2, 43, 47. Prime factorization of 64672 in exponential form is:

64672 = 2⁵ × 43¹ × 47¹

Step-2: Prime Factorization of 64684

Prime factors of 64684 are 2, 103, 157. Prime factorization of 64684 in exponential form is:

64684 = 2² × 103¹ × 157¹

Step-3: Factors of 64672

List of positive integer factors of 64672 that divides 64672 without a remainder.

1, 2, 4, 8, 16, 32, 43, 47, 86, 94, 172, 188, 344, 376, 688, 752, 1376, 1504, 2021, 4042, 8084, 16168, 32336

Step-4: Factors of 64684

List of positive integer factors of 64684 that divides 64672 without a remainder.

1, 2, 4, 103, 157, 206, 314, 412, 628, 16171, 32342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64672 and 64684. The biggest common factor number is the GCF number.
So the greatest common factor 64672 and 64684 is 4.

Also check out the Least Common Multiple of 64672 and 64684