What is the Greatest Common Factor of 15090 and 15100?

Greatest common factor (GCF) of 15090 and 15100 is 10.

GCF(15090,15100) = 10

We will now calculate the prime factors of 15090 and 15100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15090 and 15100.

How to find the GCF of 15090 and 15100?

We will first find the prime factorization of 15090 and 15100. After we will calculate the factors of 15090 and 15100 and find the biggest common factor number .

Step-1: Prime Factorization of 15090

Prime factors of 15090 are 2, 3, 5, 503. Prime factorization of 15090 in exponential form is:

15090 = 2¹ × 3¹ × 5¹ × 503¹

Step-2: 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-3: Factors of 15090

List of positive integer factors of 15090 that divides 15090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 503, 1006, 1509, 2515, 3018, 5030, 7545

Step-4: Factors of 15100

List of positive integer factors of 15100 that divides 15090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15090 and 15100. The biggest common factor number is the GCF number.
So the greatest common factor 15090 and 15100 is 10.

Also check out the Least Common Multiple of 15090 and 15100