What is the Greatest Common Factor of 96624 and 96636?

Greatest common factor (GCF) of 96624 and 96636 is 12.

GCF(96624,96636) = 12

We will now calculate the prime factors of 96624 and 96636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96624 and 96636.

How to find the GCF of 96624 and 96636?

We will first find the prime factorization of 96624 and 96636. After we will calculate the factors of 96624 and 96636 and find the biggest common factor number .

Step-1: Prime Factorization of 96624

Prime factors of 96624 are 2, 3, 11, 61. Prime factorization of 96624 in exponential form is:

96624 = 2⁴ × 3² × 11¹ × 61¹

Step-2: Prime Factorization of 96636

Prime factors of 96636 are 2, 3, 8053. Prime factorization of 96636 in exponential form is:

96636 = 2² × 3¹ × 8053¹

Step-3: Factors of 96624

List of positive integer factors of 96624 that divides 96624 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 61, 66, 72, 88, 99, 122, 132, 144, 176, 183, 198, 244, 264, 366, 396, 488, 528, 549, 671, 732, 792, 976, 1098, 1342, 1464, 1584, 2013, 2196, 2684, 2928, 4026, 4392, 5368, 6039, 8052, 8784, 10736, 12078, 16104, 24156, 32208, 48312

Step-4: Factors of 96636

List of positive integer factors of 96636 that divides 96624 without a remainder.

1, 2, 3, 4, 6, 12, 8053, 16106, 24159, 32212, 48318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96624 and 96636. The biggest common factor number is the GCF number.
So the greatest common factor 96624 and 96636 is 12.

Also check out the Least Common Multiple of 96624 and 96636