What is the Greatest Common Factor of 51075 and 51089?

Greatest common factor (GCF) of 51075 and 51089 is 1.

GCF(51075,51089) = 1

We will now calculate the prime factors of 51075 and 51089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51075 and 51089.

How to find the GCF of 51075 and 51089?

We will first find the prime factorization of 51075 and 51089. After we will calculate the factors of 51075 and 51089 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 51089

Prime factors of 51089 are 47, 1087. Prime factorization of 51089 in exponential form is:

51089 = 47¹ × 1087¹

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 51089

List of positive integer factors of 51089 that divides 51075 without a remainder.

1, 47, 1087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51075 and 51089. The biggest common factor number is the GCF number.
So the greatest common factor 51075 and 51089 is 1.

Also check out the Least Common Multiple of 51075 and 51089