What is the Greatest Common Factor of 93624 and 93633?

Greatest common factor (GCF) of 93624 and 93633 is 3.

GCF(93624,93633) = 3

We will now calculate the prime factors of 93624 and 93633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93624 and 93633.

How to find the GCF of 93624 and 93633?

We will first find the prime factorization of 93624 and 93633. After we will calculate the factors of 93624 and 93633 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 93633

Prime factors of 93633 are 3, 23, 59. Prime factorization of 93633 in exponential form is:

93633 = 3¹ × 23² × 59¹

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 93633

List of positive integer factors of 93633 that divides 93624 without a remainder.

1, 3, 23, 59, 69, 177, 529, 1357, 1587, 4071, 31211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93624 and 93633. The biggest common factor number is the GCF number.
So the greatest common factor 93624 and 93633 is 3.

Also check out the Least Common Multiple of 93624 and 93633