What is the Greatest Common Factor of 15616 and 15628?

Greatest common factor (GCF) of 15616 and 15628 is 4.

GCF(15616,15628) = 4

We will now calculate the prime factors of 15616 and 15628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15616 and 15628.

How to find the GCF of 15616 and 15628?

We will first find the prime factorization of 15616 and 15628. After we will calculate the factors of 15616 and 15628 and find the biggest common factor number .

Step-1: Prime Factorization of 15616

Prime factors of 15616 are 2, 61. Prime factorization of 15616 in exponential form is:

15616 = 2⁸ × 61¹

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 15616

List of positive integer factors of 15616 that divides 15616 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 976, 1952, 3904, 7808

Step-4: Factors of 15628

List of positive integer factors of 15628 that divides 15616 without a remainder.

1, 2, 4, 3907, 7814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15616 and 15628. The biggest common factor number is the GCF number.
So the greatest common factor 15616 and 15628 is 4.

Also check out the Least Common Multiple of 15616 and 15628