What is the Greatest Common Factor of 51089 and 51108?

Greatest common factor (GCF) of 51089 and 51108 is 1.

GCF(51089,51108) = 1

We will now calculate the prime factors of 51089 and 51108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51089 and 51108.

How to find the GCF of 51089 and 51108?

We will first find the prime factorization of 51089 and 51108. After we will calculate the factors of 51089 and 51108 and find the biggest common factor number .

Step-1: Prime Factorization of 51089

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

51089 = 47¹ × 1087¹

Step-2: Prime Factorization of 51108

Prime factors of 51108 are 2, 3, 4259. Prime factorization of 51108 in exponential form is:

51108 = 2² × 3¹ × 4259¹

Step-3: Factors of 51089

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

1, 47, 1087

Step-4: Factors of 51108

List of positive integer factors of 51108 that divides 51089 without a remainder.

1, 2, 3, 4, 6, 12, 4259, 8518, 12777, 17036, 25554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51089 and 51108. The biggest common factor number is the GCF number.
So the greatest common factor 51089 and 51108 is 1.

Also check out the Least Common Multiple of 51089 and 51108