What is the Greatest Common Factor of 76256 and 76274?

Greatest common factor (GCF) of 76256 and 76274 is 2.

GCF(76256,76274) = 2

We will now calculate the prime factors of 76256 and 76274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76256 and 76274.

How to find the GCF of 76256 and 76274?

We will first find the prime factorization of 76256 and 76274. After we will calculate the factors of 76256 and 76274 and find the biggest common factor number .

Step-1: Prime Factorization of 76256

Prime factors of 76256 are 2, 2383. Prime factorization of 76256 in exponential form is:

76256 = 2⁵ × 2383¹

Step-2: Prime Factorization of 76274

Prime factors of 76274 are 2, 11, 3467. Prime factorization of 76274 in exponential form is:

76274 = 2¹ × 11¹ × 3467¹

Step-3: Factors of 76256

List of positive integer factors of 76256 that divides 76256 without a remainder.

1, 2, 4, 8, 16, 32, 2383, 4766, 9532, 19064, 38128

Step-4: Factors of 76274

List of positive integer factors of 76274 that divides 76256 without a remainder.

1, 2, 11, 22, 3467, 6934, 38137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76256 and 76274. The biggest common factor number is the GCF number.
So the greatest common factor 76256 and 76274 is 2.

Also check out the Least Common Multiple of 76256 and 76274