What is the Greatest Common Factor of 93624 and 93628?

Greatest common factor (GCF) of 93624 and 93628 is 4.

GCF(93624,93628) = 4

We will now calculate the prime factors of 93624 and 93628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93624 and 93628.

How to find the GCF of 93624 and 93628?

We will first find the prime factorization of 93624 and 93628. After we will calculate the factors of 93624 and 93628 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93628

Prime factors of 93628 are 2, 89, 263. Prime factorization of 93628 in exponential form is:

93628 = 2² × 89¹ × 263¹

Step-3: Factors of 93624

List of positive integer factors of 93624 that divides 93624 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

Step-4: Factors of 93628

List of positive integer factors of 93628 that divides 93624 without a remainder.

1, 2, 4, 89, 178, 263, 356, 526, 1052, 23407, 46814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93624 and 93628. The biggest common factor number is the GCF number.
So the greatest common factor 93624 and 93628 is 4.

Also check out the Least Common Multiple of 93624 and 93628