What is the Greatest Common Factor of 96252 and 96264?

Greatest common factor (GCF) of 96252 and 96264 is 12.

GCF(96252,96264) = 12

We will now calculate the prime factors of 96252 and 96264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96252 and 96264.

How to find the GCF of 96252 and 96264?

We will first find the prime factorization of 96252 and 96264. After we will calculate the factors of 96252 and 96264 and find the biggest common factor number .

Step-1: Prime Factorization of 96252

Prime factors of 96252 are 2, 3, 13, 617. Prime factorization of 96252 in exponential form is:

96252 = 2² × 3¹ × 13¹ × 617¹

Step-2: Prime Factorization of 96264

Prime factors of 96264 are 2, 3, 7, 191. Prime factorization of 96264 in exponential form is:

96264 = 2³ × 3² × 7¹ × 191¹

Step-3: Factors of 96252

List of positive integer factors of 96252 that divides 96252 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 617, 1234, 1851, 2468, 3702, 7404, 8021, 16042, 24063, 32084, 48126

Step-4: Factors of 96264

List of positive integer factors of 96264 that divides 96252 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 191, 252, 382, 504, 573, 764, 1146, 1337, 1528, 1719, 2292, 2674, 3438, 4011, 4584, 5348, 6876, 8022, 10696, 12033, 13752, 16044, 24066, 32088, 48132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96252 and 96264. The biggest common factor number is the GCF number.
So the greatest common factor 96252 and 96264 is 12.

Also check out the Least Common Multiple of 96252 and 96264