What is the Greatest Common Factor of 15610 and 15624?

Greatest common factor (GCF) of 15610 and 15624 is 14.

GCF(15610,15624) = 14

We will now calculate the prime factors of 15610 and 15624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15610 and 15624.

How to find the GCF of 15610 and 15624?

We will first find the prime factorization of 15610 and 15624. After we will calculate the factors of 15610 and 15624 and find the biggest common factor number .

Step-1: Prime Factorization of 15610

Prime factors of 15610 are 2, 5, 7, 223. Prime factorization of 15610 in exponential form is:

15610 = 2¹ × 5¹ × 7¹ × 223¹

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 15610

List of positive integer factors of 15610 that divides 15610 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 223, 446, 1115, 1561, 2230, 3122, 7805

Step-4: Factors of 15624

List of positive integer factors of 15624 that divides 15610 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 15610 and 15624. The biggest common factor number is the GCF number.
So the greatest common factor 15610 and 15624 is 14.

Also check out the Least Common Multiple of 15610 and 15624