What is the Greatest Common Factor of 15099 and 15113?

Greatest common factor (GCF) of 15099 and 15113 is 7.

GCF(15099,15113) = 7

We will now calculate the prime factors of 15099 and 15113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15099 and 15113.

How to find the GCF of 15099 and 15113?

We will first find the prime factorization of 15099 and 15113. After we will calculate the factors of 15099 and 15113 and find the biggest common factor number .

Step-1: Prime Factorization of 15099

Prime factors of 15099 are 3, 7, 719. Prime factorization of 15099 in exponential form is:

15099 = 3¹ × 7¹ × 719¹

Step-2: Prime Factorization of 15113

Prime factors of 15113 are 7, 17, 127. Prime factorization of 15113 in exponential form is:

15113 = 7¹ × 17¹ × 127¹

Step-3: Factors of 15099

List of positive integer factors of 15099 that divides 15099 without a remainder.

1, 3, 7, 21, 719, 2157, 5033

Step-4: Factors of 15113

List of positive integer factors of 15113 that divides 15099 without a remainder.

1, 7, 17, 119, 127, 889, 2159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15099 and 15113. The biggest common factor number is the GCF number.
So the greatest common factor 15099 and 15113 is 7.

Also check out the Least Common Multiple of 15099 and 15113