What is the Greatest Common Factor of 64442 and 64456?

Greatest common factor (GCF) of 64442 and 64456 is 14.

GCF(64442,64456) = 14

We will now calculate the prime factors of 64442 and 64456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64442 and 64456.

How to find the GCF of 64442 and 64456?

We will first find the prime factorization of 64442 and 64456. After we will calculate the factors of 64442 and 64456 and find the biggest common factor number .

Step-1: Prime Factorization of 64442

Prime factors of 64442 are 2, 7, 4603. Prime factorization of 64442 in exponential form is:

64442 = 2¹ × 7¹ × 4603¹

Step-2: Prime Factorization of 64456

Prime factors of 64456 are 2, 7, 1151. Prime factorization of 64456 in exponential form is:

64456 = 2³ × 7¹ × 1151¹

Step-3: Factors of 64442

List of positive integer factors of 64442 that divides 64442 without a remainder.

1, 2, 7, 14, 4603, 9206, 32221

Step-4: Factors of 64456

List of positive integer factors of 64456 that divides 64442 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1151, 2302, 4604, 8057, 9208, 16114, 32228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64442 and 64456. The biggest common factor number is the GCF number.
So the greatest common factor 64442 and 64456 is 14.

Also check out the Least Common Multiple of 64442 and 64456