What is the Greatest Common Factor of 15075 and 15079?

Greatest common factor (GCF) of 15075 and 15079 is 1.

GCF(15075,15079) = 1

We will now calculate the prime factors of 15075 and 15079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15075 and 15079.

How to find the GCF of 15075 and 15079?

We will first find the prime factorization of 15075 and 15079. After we will calculate the factors of 15075 and 15079 and find the biggest common factor number .

Step-1: Prime Factorization of 15075

Prime factors of 15075 are 3, 5, 67. Prime factorization of 15075 in exponential form is:

15075 = 3² × 5² × 67¹

Step-2: Prime Factorization of 15079

Prime factors of 15079 are 17, 887. Prime factorization of 15079 in exponential form is:

15079 = 17¹ × 887¹

Step-3: Factors of 15075

List of positive integer factors of 15075 that divides 15075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 67, 75, 201, 225, 335, 603, 1005, 1675, 3015, 5025

Step-4: Factors of 15079

List of positive integer factors of 15079 that divides 15075 without a remainder.

1, 17, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15075 and 15079. The biggest common factor number is the GCF number.
So the greatest common factor 15075 and 15079 is 1.

Also check out the Least Common Multiple of 15075 and 15079