What is the Greatest Common Factor of 76264 and 76282?

Greatest common factor (GCF) of 76264 and 76282 is 2.

GCF(76264,76282) = 2

We will now calculate the prime factors of 76264 and 76282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76264 and 76282.

How to find the GCF of 76264 and 76282?

We will first find the prime factorization of 76264 and 76282. After we will calculate the factors of 76264 and 76282 and find the biggest common factor number .

Step-1: Prime Factorization of 76264

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

76264 = 2³ × 9533¹

Step-2: Prime Factorization of 76282

Prime factors of 76282 are 2, 43, 887. Prime factorization of 76282 in exponential form is:

76282 = 2¹ × 43¹ × 887¹

Step-3: Factors of 76264

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

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

Step-4: Factors of 76282

List of positive integer factors of 76282 that divides 76264 without a remainder.

1, 2, 43, 86, 887, 1774, 38141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76264 and 76282. The biggest common factor number is the GCF number.
So the greatest common factor 76264 and 76282 is 2.

Also check out the Least Common Multiple of 76264 and 76282