What is the Greatest Common Factor of 15614 and 15634?

Greatest common factor (GCF) of 15614 and 15634 is 2.

GCF(15614,15634) = 2

We will now calculate the prime factors of 15614 and 15634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15614 and 15634.

How to find the GCF of 15614 and 15634?

We will first find the prime factorization of 15614 and 15634. After we will calculate the factors of 15614 and 15634 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 15634

Prime factors of 15634 are 2, 7817. Prime factorization of 15634 in exponential form is:

15634 = 2¹ × 7817¹

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 15634

List of positive integer factors of 15634 that divides 15614 without a remainder.

1, 2, 7817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15614 and 15634. The biggest common factor number is the GCF number.
So the greatest common factor 15614 and 15634 is 2.

Also check out the Least Common Multiple of 15614 and 15634