What is the Greatest Common Factor of 93612 and 93624?

Greatest common factor (GCF) of 93612 and 93624 is 12.

GCF(93612,93624) = 12

We will now calculate the prime factors of 93612 and 93624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93612 and 93624.

How to find the GCF of 93612 and 93624?

We will first find the prime factorization of 93612 and 93624. After we will calculate the factors of 93612 and 93624 and find the biggest common factor number .

Step-1: Prime Factorization of 93612

Prime factors of 93612 are 2, 3, 29, 269. Prime factorization of 93612 in exponential form is:

93612 = 2² × 3¹ × 29¹ × 269¹

Step-2: Prime Factorization of 93624

Prime factors of 93624 are 2, 3, 47, 83. Prime factorization of 93624 in exponential form is:

93624 = 2³ × 3¹ × 47¹ × 83¹

Step-3: Factors of 93612

List of positive integer factors of 93612 that divides 93612 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 269, 348, 538, 807, 1076, 1614, 3228, 7801, 15602, 23403, 31204, 46806

Step-4: Factors of 93624

List of positive integer factors of 93624 that divides 93612 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 83, 94, 141, 166, 188, 249, 282, 332, 376, 498, 564, 664, 996, 1128, 1992, 3901, 7802, 11703, 15604, 23406, 31208, 46812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93612 and 93624. The biggest common factor number is the GCF number.
So the greatest common factor 93612 and 93624 is 12.

Also check out the Least Common Multiple of 93612 and 93624