What is the Greatest Common Factor of 15099 and 15108?

Greatest common factor (GCF) of 15099 and 15108 is 3.

GCF(15099,15108) = 3

We will now calculate the prime factors of 15099 and 15108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15099 and 15108.

How to find the GCF of 15099 and 15108?

We will first find the prime factorization of 15099 and 15108. After we will calculate the factors of 15099 and 15108 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 15108

Prime factors of 15108 are 2, 3, 1259. Prime factorization of 15108 in exponential form is:

15108 = 2² × 3¹ × 1259¹

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 15108

List of positive integer factors of 15108 that divides 15099 without a remainder.

1, 2, 3, 4, 6, 12, 1259, 2518, 3777, 5036, 7554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15099 and 15108. The biggest common factor number is the GCF number.
So the greatest common factor 15099 and 15108 is 3.

Also check out the Least Common Multiple of 15099 and 15108