What is the Greatest Common Factor of 51080 and 51097?

Greatest common factor (GCF) of 51080 and 51097 is 1.

GCF(51080,51097) = 1

We will now calculate the prime factors of 51080 and 51097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51080 and 51097.

How to find the GCF of 51080 and 51097?

We will first find the prime factorization of 51080 and 51097. After we will calculate the factors of 51080 and 51097 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 51097

Prime factors of 51097 are 37, 1381. Prime factorization of 51097 in exponential form is:

51097 = 37¹ × 1381¹

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 51097

List of positive integer factors of 51097 that divides 51080 without a remainder.

1, 37, 1381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51080 and 51097. The biggest common factor number is the GCF number.
So the greatest common factor 51080 and 51097 is 1.

Also check out the Least Common Multiple of 51080 and 51097