What is the Greatest Common Factor of 15099 and 15105?

Greatest common factor (GCF) of 15099 and 15105 is 3.

GCF(15099,15105) = 3

We will now calculate the prime factors of 15099 and 15105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15099 and 15105.

How to find the GCF of 15099 and 15105?

We will first find the prime factorization of 15099 and 15105. After we will calculate the factors of 15099 and 15105 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 15105

Prime factors of 15105 are 3, 5, 19, 53. Prime factorization of 15105 in exponential form is:

15105 = 3¹ × 5¹ × 19¹ × 53¹

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 15105

List of positive integer factors of 15105 that divides 15099 without a remainder.

1, 3, 5, 15, 19, 53, 57, 95, 159, 265, 285, 795, 1007, 3021, 5035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15099 and 15105. The biggest common factor number is the GCF number.
So the greatest common factor 15099 and 15105 is 3.

Also check out the Least Common Multiple of 15099 and 15105