What is the Greatest Common Factor of 76257 and 76264?

Greatest common factor (GCF) of 76257 and 76264 is 1.

GCF(76257,76264) = 1

We will now calculate the prime factors of 76257 and 76264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76257 and 76264.

How to find the GCF of 76257 and 76264?

We will first find the prime factorization of 76257 and 76264. After we will calculate the factors of 76257 and 76264 and find the biggest common factor number .

Step-1: Prime Factorization of 76257

Prime factors of 76257 are 3, 37, 229. Prime factorization of 76257 in exponential form is:

76257 = 3² × 37¹ × 229¹

Step-2: Prime Factorization of 76264

Prime factors of 76264 are 2, 9533. Prime factorization of 76264 in exponential form is:

76264 = 2³ × 9533¹

Step-3: Factors of 76257

List of positive integer factors of 76257 that divides 76257 without a remainder.

1, 3, 9, 37, 111, 229, 333, 687, 2061, 8473, 25419

Step-4: Factors of 76264

List of positive integer factors of 76264 that divides 76257 without a remainder.

1, 2, 4, 8, 9533, 19066, 38132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76257 and 76264. The biggest common factor number is the GCF number.
So the greatest common factor 76257 and 76264 is 1.

Also check out the Least Common Multiple of 76257 and 76264