What is the Greatest Common Factor of 15614 and 15624?

Greatest common factor (GCF) of 15614 and 15624 is 2.

GCF(15614,15624) = 2

We will now calculate the prime factors of 15614 and 15624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15614 and 15624.

How to find the GCF of 15614 and 15624?

We will first find the prime factorization of 15614 and 15624. After we will calculate the factors of 15614 and 15624 and find the biggest common factor number .

Step-1: Prime Factorization of 15614

Prime factors of 15614 are 2, 37, 211. Prime factorization of 15614 in exponential form is:

15614 = 2¹ × 37¹ × 211¹

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 15614

List of positive integer factors of 15614 that divides 15614 without a remainder.

1, 2, 37, 74, 211, 422, 7807

Step-4: Factors of 15624

List of positive integer factors of 15624 that divides 15614 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 15614 and 15624. The biggest common factor number is the GCF number.
So the greatest common factor 15614 and 15624 is 2.

Also check out the Least Common Multiple of 15614 and 15624