What is the Greatest Common Factor of 81252 and 81264?

Greatest common factor (GCF) of 81252 and 81264 is 12.

GCF(81252,81264) = 12

We will now calculate the prime factors of 81252 and 81264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81252 and 81264.

How to find the GCF of 81252 and 81264?

We will first find the prime factorization of 81252 and 81264. After we will calculate the factors of 81252 and 81264 and find the biggest common factor number .

Step-1: Prime Factorization of 81252

Prime factors of 81252 are 2, 3, 37, 61. Prime factorization of 81252 in exponential form is:

81252 = 2² × 3² × 37¹ × 61¹

Step-2: 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-3: Factors of 81252

List of positive integer factors of 81252 that divides 81252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 61, 74, 111, 122, 148, 183, 222, 244, 333, 366, 444, 549, 666, 732, 1098, 1332, 2196, 2257, 4514, 6771, 9028, 13542, 20313, 27084, 40626

Step-4: Factors of 81264

List of positive integer factors of 81264 that divides 81252 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81252 and 81264. The biggest common factor number is the GCF number.
So the greatest common factor 81252 and 81264 is 12.

Also check out the Least Common Multiple of 81252 and 81264