What is the Greatest Common Factor of 15624 and 15642?

Greatest common factor (GCF) of 15624 and 15642 is 18.

GCF(15624,15642) = 18

We will now calculate the prime factors of 15624 and 15642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15624 and 15642.

How to find the GCF of 15624 and 15642?

We will first find the prime factorization of 15624 and 15642. After we will calculate the factors of 15624 and 15642 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 15642

Prime factors of 15642 are 2, 3, 11, 79. Prime factorization of 15642 in exponential form is:

15642 = 2¹ × 3² × 11¹ × 79¹

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 15642

List of positive integer factors of 15642 that divides 15624 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 79, 99, 158, 198, 237, 474, 711, 869, 1422, 1738, 2607, 5214, 7821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15624 and 15642. The biggest common factor number is the GCF number.
So the greatest common factor 15624 and 15642 is 18.

Also check out the Least Common Multiple of 15624 and 15642