What is the Greatest Common Factor of 51089 and 51096?

Greatest common factor (GCF) of 51089 and 51096 is 1.

GCF(51089,51096) = 1

We will now calculate the prime factors of 51089 and 51096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51089 and 51096.

How to find the GCF of 51089 and 51096?

We will first find the prime factorization of 51089 and 51096. After we will calculate the factors of 51089 and 51096 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 51096

Prime factors of 51096 are 2, 3, 2129. Prime factorization of 51096 in exponential form is:

51096 = 2³ × 3¹ × 2129¹

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 51096

List of positive integer factors of 51096 that divides 51089 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2129, 4258, 6387, 8516, 12774, 17032, 25548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51089 and 51096. The biggest common factor number is the GCF number.
So the greatest common factor 51089 and 51096 is 1.

Also check out the Least Common Multiple of 51089 and 51096