What is the Greatest Common Factor of 93609 and 93624?

Greatest common factor (GCF) of 93609 and 93624 is 3.

GCF(93609,93624) = 3

We will now calculate the prime factors of 93609 and 93624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93609 and 93624.

How to find the GCF of 93609 and 93624?

We will first find the prime factorization of 93609 and 93624. After we will calculate the factors of 93609 and 93624 and find the biggest common factor number .

Step-1: Prime Factorization of 93609

Prime factors of 93609 are 3, 3467. Prime factorization of 93609 in exponential form is:

93609 = 3³ × 3467¹

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 93609

List of positive integer factors of 93609 that divides 93609 without a remainder.

1, 3, 9, 27, 3467, 10401, 31203

Step-4: Factors of 93624

List of positive integer factors of 93624 that divides 93609 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 93609 and 93624. The biggest common factor number is the GCF number.
So the greatest common factor 93609 and 93624 is 3.

Also check out the Least Common Multiple of 93609 and 93624