What is the Greatest Common Factor of 15100 and 15110?

Greatest common factor (GCF) of 15100 and 15110 is 10.

GCF(15100,15110) = 10

We will now calculate the prime factors of 15100 and 15110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15100 and 15110.

How to find the GCF of 15100 and 15110?

We will first find the prime factorization of 15100 and 15110. After we will calculate the factors of 15100 and 15110 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 15110

Prime factors of 15110 are 2, 5, 1511. Prime factorization of 15110 in exponential form is:

15110 = 2¹ × 5¹ × 1511¹

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 15110

List of positive integer factors of 15110 that divides 15100 without a remainder.

1, 2, 5, 10, 1511, 3022, 7555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15100 and 15110. The biggest common factor number is the GCF number.
So the greatest common factor 15100 and 15110 is 10.

Also check out the Least Common Multiple of 15100 and 15110