What is the Greatest Common Factor of 51080 and 51098?

Greatest common factor (GCF) of 51080 and 51098 is 2.

GCF(51080,51098) = 2

We will now calculate the prime factors of 51080 and 51098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51080 and 51098.

How to find the GCF of 51080 and 51098?

We will first find the prime factorization of 51080 and 51098. After we will calculate the factors of 51080 and 51098 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 51098

Prime factors of 51098 are 2, 29, 881. Prime factorization of 51098 in exponential form is:

51098 = 2¹ × 29¹ × 881¹

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 51098

List of positive integer factors of 51098 that divides 51080 without a remainder.

1, 2, 29, 58, 881, 1762, 25549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51080 and 51098. The biggest common factor number is the GCF number.
So the greatest common factor 51080 and 51098 is 2.

Also check out the Least Common Multiple of 51080 and 51098