What is the Greatest Common Factor of 76077 and 76089?

Greatest common factor (GCF) of 76077 and 76089 is 3.

GCF(76077,76089) = 3

We will now calculate the prime factors of 76077 and 76089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76077 and 76089.

How to find the GCF of 76077 and 76089?

We will first find the prime factorization of 76077 and 76089. After we will calculate the factors of 76077 and 76089 and find the biggest common factor number .

Step-1: Prime Factorization of 76077

Prime factors of 76077 are 3, 79, 107. Prime factorization of 76077 in exponential form is:

76077 = 3² × 79¹ × 107¹

Step-2: 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-3: Factors of 76077

List of positive integer factors of 76077 that divides 76077 without a remainder.

1, 3, 9, 79, 107, 237, 321, 711, 963, 8453, 25359

Step-4: Factors of 76089

List of positive integer factors of 76089 that divides 76077 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76077 and 76089. The biggest common factor number is the GCF number.
So the greatest common factor 76077 and 76089 is 3.

Also check out the Least Common Multiple of 76077 and 76089