What is the Greatest Common Factor of 15614 and 15628?

Greatest common factor (GCF) of 15614 and 15628 is 2.

GCF(15614,15628) = 2

We will now calculate the prime factors of 15614 and 15628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15614 and 15628.

How to find the GCF of 15614 and 15628?

We will first find the prime factorization of 15614 and 15628. After we will calculate the factors of 15614 and 15628 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 15628

Prime factors of 15628 are 2, 3907. Prime factorization of 15628 in exponential form is:

15628 = 2² × 3907¹

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 15628

List of positive integer factors of 15628 that divides 15614 without a remainder.

1, 2, 4, 3907, 7814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15614 and 15628. The biggest common factor number is the GCF number.
So the greatest common factor 15614 and 15628 is 2.

Also check out the Least Common Multiple of 15614 and 15628