What is the Greatest Common Factor of 76076 and 76089?

Greatest common factor (GCF) of 76076 and 76089 is 13.

GCF(76076,76089) = 13

We will now calculate the prime factors of 76076 and 76089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76076 and 76089.

How to find the GCF of 76076 and 76089?

We will first find the prime factorization of 76076 and 76089. After we will calculate the factors of 76076 and 76089 and find the biggest common factor number .

Step-1: Prime Factorization of 76076

Prime factors of 76076 are 2, 7, 11, 13, 19. Prime factorization of 76076 in exponential form is:

76076 = 2² × 7¹ × 11¹ × 13¹ × 19¹

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 76076

List of positive integer factors of 76076 that divides 76076 without a remainder.

1, 2, 4, 7, 11, 13, 14, 19, 22, 26, 28, 38, 44, 52, 76, 77, 91, 133, 143, 154, 182, 209, 247, 266, 286, 308, 364, 418, 494, 532, 572, 836, 988, 1001, 1463, 1729, 2002, 2717, 2926, 3458, 4004, 5434, 5852, 6916, 10868, 19019, 38038

Step-4: Factors of 76089

List of positive integer factors of 76089 that divides 76076 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76076 and 76089. The biggest common factor number is the GCF number.
So the greatest common factor 76076 and 76089 is 13.

Also check out the Least Common Multiple of 76076 and 76089