What is the Greatest Common Factor of 15624 and 15628?

Greatest common factor (GCF) of 15624 and 15628 is 4.

GCF(15624,15628) = 4

We will now calculate the prime factors of 15624 and 15628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15624 and 15628.

How to find the GCF of 15624 and 15628?

We will first find the prime factorization of 15624 and 15628. After we will calculate the factors of 15624 and 15628 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 15628

Prime factors of 15628 are 2, 3907. Prime factorization of 15628 in exponential form is:

15628 = 2² × 3907¹

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 15628

List of positive integer factors of 15628 that divides 15624 without a remainder.

1, 2, 4, 3907, 7814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15624 and 15628. The biggest common factor number is the GCF number.
So the greatest common factor 15624 and 15628 is 4.

Also check out the Least Common Multiple of 15624 and 15628