What is the Greatest Common Factor of 93624 and 93630?

Greatest common factor (GCF) of 93624 and 93630 is 6.

GCF(93624,93630) = 6

We will now calculate the prime factors of 93624 and 93630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93624 and 93630.

How to find the GCF of 93624 and 93630?

We will first find the prime factorization of 93624 and 93630. After we will calculate the factors of 93624 and 93630 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 93630

Prime factors of 93630 are 2, 3, 5, 3121. Prime factorization of 93630 in exponential form is:

93630 = 2¹ × 3¹ × 5¹ × 3121¹

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 93630

List of positive integer factors of 93630 that divides 93624 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3121, 6242, 9363, 15605, 18726, 31210, 46815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93624 and 93630. The biggest common factor number is the GCF number.
So the greatest common factor 93624 and 93630 is 6.

Also check out the Least Common Multiple of 93624 and 93630