What is the Greatest Common Factor of 76089 and 76095?

Greatest common factor (GCF) of 76089 and 76095 is 3.

GCF(76089,76095) = 3

We will now calculate the prime factors of 76089 and 76095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76089 and 76095.

How to find the GCF of 76089 and 76095?

We will first find the prime factorization of 76089 and 76095. After we will calculate the factors of 76089 and 76095 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 76095

Prime factors of 76095 are 3, 5, 19, 89. Prime factorization of 76095 in exponential form is:

76095 = 3² × 5¹ × 19¹ × 89¹

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 76095

List of positive integer factors of 76095 that divides 76089 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 89, 95, 171, 267, 285, 445, 801, 855, 1335, 1691, 4005, 5073, 8455, 15219, 25365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76089 and 76095. The biggest common factor number is the GCF number.
So the greatest common factor 76089 and 76095 is 3.

Also check out the Least Common Multiple of 76089 and 76095