What is the Greatest Common Factor of 51080 and 51087?

Greatest common factor (GCF) of 51080 and 51087 is 1.

GCF(51080,51087) = 1

We will now calculate the prime factors of 51080 and 51087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51080 and 51087.

How to find the GCF of 51080 and 51087?

We will first find the prime factorization of 51080 and 51087. After we will calculate the factors of 51080 and 51087 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51087

Prime factors of 51087 are 3, 17029. Prime factorization of 51087 in exponential form is:

51087 = 3¹ × 17029¹

Step-3: Factors of 51080

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

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

Step-4: Factors of 51087

List of positive integer factors of 51087 that divides 51080 without a remainder.

1, 3, 17029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51080 and 51087. The biggest common factor number is the GCF number.
So the greatest common factor 51080 and 51087 is 1.

Also check out the Least Common Multiple of 51080 and 51087