What is the Greatest Common Factor of 15624 and 15633?

Greatest common factor (GCF) of 15624 and 15633 is 9.

GCF(15624,15633) = 9

We will now calculate the prime factors of 15624 and 15633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15624 and 15633.

How to find the GCF of 15624 and 15633?

We will first find the prime factorization of 15624 and 15633. After we will calculate the factors of 15624 and 15633 and find the biggest common factor number .

Step-1: Prime Factorization of 15624

Prime factors of 15624 are 2, 3, 7, 31. Prime factorization of 15624 in exponential form is:

15624 = 2³ × 3² × 7¹ × 31¹

Step-2: Prime Factorization of 15633

Prime factors of 15633 are 3, 193. Prime factorization of 15633 in exponential form is:

15633 = 3⁴ × 193¹

Step-3: Factors of 15624

List of positive integer factors of 15624 that divides 15624 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 31, 36, 42, 56, 62, 63, 72, 84, 93, 124, 126, 168, 186, 217, 248, 252, 279, 372, 434, 504, 558, 651, 744, 868, 1116, 1302, 1736, 1953, 2232, 2604, 3906, 5208, 7812

Step-4: Factors of 15633

List of positive integer factors of 15633 that divides 15624 without a remainder.

1, 3, 9, 27, 81, 193, 579, 1737, 5211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15624 and 15633. The biggest common factor number is the GCF number.
So the greatest common factor 15624 and 15633 is 9.

Also check out the Least Common Multiple of 15624 and 15633