What is the Greatest Common Factor of 15100 and 15114?

Greatest common factor (GCF) of 15100 and 15114 is 2.

GCF(15100,15114) = 2

We will now calculate the prime factors of 15100 and 15114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15100 and 15114.

How to find the GCF of 15100 and 15114?

We will first find the prime factorization of 15100 and 15114. After we will calculate the factors of 15100 and 15114 and find the biggest common factor number .

Step-1: Prime Factorization of 15100

Prime factors of 15100 are 2, 5, 151. Prime factorization of 15100 in exponential form is:

15100 = 2² × 5² × 151¹

Step-2: Prime Factorization of 15114

Prime factors of 15114 are 2, 3, 11, 229. Prime factorization of 15114 in exponential form is:

15114 = 2¹ × 3¹ × 11¹ × 229¹

Step-3: Factors of 15100

List of positive integer factors of 15100 that divides 15100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 151, 302, 604, 755, 1510, 3020, 3775, 7550

Step-4: Factors of 15114

List of positive integer factors of 15114 that divides 15100 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 229, 458, 687, 1374, 2519, 5038, 7557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15100 and 15114. The biggest common factor number is the GCF number.
So the greatest common factor 15100 and 15114 is 2.

Also check out the Least Common Multiple of 15100 and 15114