What is the Greatest Common Factor of 76089 and 76108?

Greatest common factor (GCF) of 76089 and 76108 is 1.

GCF(76089,76108) = 1

We will now calculate the prime factors of 76089 and 76108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76089 and 76108.

How to find the GCF of 76089 and 76108?

We will first find the prime factorization of 76089 and 76108. After we will calculate the factors of 76089 and 76108 and find the biggest common factor number .

Step-1: Prime Factorization of 76089

Prime factors of 76089 are 3, 13, 1951. Prime factorization of 76089 in exponential form is:

76089 = 3¹ × 13¹ × 1951¹

Step-2: Prime Factorization of 76108

Prime factors of 76108 are 2, 53, 359. Prime factorization of 76108 in exponential form is:

76108 = 2² × 53¹ × 359¹

Step-3: Factors of 76089

List of positive integer factors of 76089 that divides 76089 without a remainder.

1, 3, 13, 39, 1951, 5853, 25363

Step-4: Factors of 76108

List of positive integer factors of 76108 that divides 76089 without a remainder.

1, 2, 4, 53, 106, 212, 359, 718, 1436, 19027, 38054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76089 and 76108. The biggest common factor number is the GCF number.
So the greatest common factor 76089 and 76108 is 1.

Also check out the Least Common Multiple of 76089 and 76108