What is the Greatest Common Factor of 51075 and 51079?

Greatest common factor (GCF) of 51075 and 51079 is 1.

GCF(51075,51079) = 1

We will now calculate the prime factors of 51075 and 51079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51075 and 51079.

How to find the GCF of 51075 and 51079?

We will first find the prime factorization of 51075 and 51079. After we will calculate the factors of 51075 and 51079 and find the biggest common factor number .

Step-1: Prime Factorization of 51075

Prime factors of 51075 are 3, 5, 227. Prime factorization of 51075 in exponential form is:

51075 = 3² × 5² × 227¹

Step-2: Prime Factorization of 51079

Prime factors of 51079 are 7, 7297. Prime factorization of 51079 in exponential form is:

51079 = 7¹ × 7297¹

Step-3: Factors of 51075

List of positive integer factors of 51075 that divides 51075 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 227, 681, 1135, 2043, 3405, 5675, 10215, 17025

Step-4: Factors of 51079

List of positive integer factors of 51079 that divides 51075 without a remainder.

1, 7, 7297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51075 and 51079. The biggest common factor number is the GCF number.
So the greatest common factor 51075 and 51079 is 1.

Also check out the Least Common Multiple of 51075 and 51079