What is the Greatest Common Factor of 96612 and 96624?

Greatest common factor (GCF) of 96612 and 96624 is 12.

GCF(96612,96624) = 12

We will now calculate the prime factors of 96612 and 96624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96612 and 96624.

How to find the GCF of 96612 and 96624?

We will first find the prime factorization of 96612 and 96624. After we will calculate the factors of 96612 and 96624 and find the biggest common factor number .

Step-1: Prime Factorization of 96612

Prime factors of 96612 are 2, 3, 83, 97. Prime factorization of 96612 in exponential form is:

96612 = 2² × 3¹ × 83¹ × 97¹

Step-2: 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-3: Factors of 96612

List of positive integer factors of 96612 that divides 96612 without a remainder.

1, 2, 3, 4, 6, 12, 83, 97, 166, 194, 249, 291, 332, 388, 498, 582, 996, 1164, 8051, 16102, 24153, 32204, 48306

Step-4: Factors of 96624

List of positive integer factors of 96624 that divides 96612 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96612 and 96624. The biggest common factor number is the GCF number.
So the greatest common factor 96612 and 96624 is 12.

Also check out the Least Common Multiple of 96612 and 96624