What is the Greatest Common Factor of 51075 and 51080?

Greatest common factor (GCF) of 51075 and 51080 is 5.

GCF(51075,51080) = 5

We will now calculate the prime factors of 51075 and 51080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51075 and 51080.

How to find the GCF of 51075 and 51080?

We will first find the prime factorization of 51075 and 51080. After we will calculate the factors of 51075 and 51080 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 51080

Prime factors of 51080 are 2, 5, 1277. Prime factorization of 51080 in exponential form is:

51080 = 2³ × 5¹ × 1277¹

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 51080

List of positive integer factors of 51080 that divides 51075 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1277, 2554, 5108, 6385, 10216, 12770, 25540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51075 and 51080. The biggest common factor number is the GCF number.
So the greatest common factor 51075 and 51080 is 5.

Also check out the Least Common Multiple of 51075 and 51080