What is the Greatest Common Factor of 81264 and 81276?

Greatest common factor (GCF) of 81264 and 81276 is 12.

GCF(81264,81276) = 12

We will now calculate the prime factors of 81264 and 81276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81264 and 81276.

How to find the GCF of 81264 and 81276?

We will first find the prime factorization of 81264 and 81276. After we will calculate the factors of 81264 and 81276 and find the biggest common factor number .

Step-1: Prime Factorization of 81264

Prime factors of 81264 are 2, 3, 1693. Prime factorization of 81264 in exponential form is:

81264 = 2⁴ × 3¹ × 1693¹

Step-2: Prime Factorization of 81276

Prime factors of 81276 are 2, 3, 13, 521. Prime factorization of 81276 in exponential form is:

81276 = 2² × 3¹ × 13¹ × 521¹

Step-3: Factors of 81264

List of positive integer factors of 81264 that divides 81264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1693, 3386, 5079, 6772, 10158, 13544, 20316, 27088, 40632

Step-4: Factors of 81276

List of positive integer factors of 81276 that divides 81264 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 521, 1042, 1563, 2084, 3126, 6252, 6773, 13546, 20319, 27092, 40638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81264 and 81276. The biggest common factor number is the GCF number.
So the greatest common factor 81264 and 81276 is 12.

Also check out the Least Common Multiple of 81264 and 81276