What is the Greatest Common Factor of 15619 and 15624?

Greatest common factor (GCF) of 15619 and 15624 is 1.

GCF(15619,15624) = 1

We will now calculate the prime factors of 15619 and 15624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15619 and 15624.

How to find the GCF of 15619 and 15624?

We will first find the prime factorization of 15619 and 15624. After we will calculate the factors of 15619 and 15624 and find the biggest common factor number .

Step-1: Prime Factorization of 15619

Prime factors of 15619 are 15619. Prime factorization of 15619 in exponential form is:

15619 = 15619¹

Step-2: 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-3: Factors of 15619

List of positive integer factors of 15619 that divides 15619 without a remainder.

Step-4: Factors of 15624

List of positive integer factors of 15624 that divides 15619 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15619 and 15624. The biggest common factor number is the GCF number.
So the greatest common factor 15619 and 15624 is 1.

Also check out the Least Common Multiple of 15619 and 15624