What is the Greatest Common Factor of 76076 and 76090?

Greatest common factor (GCF) of 76076 and 76090 is 14.

GCF(76076,76090) = 14

We will now calculate the prime factors of 76076 and 76090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76076 and 76090.

How to find the GCF of 76076 and 76090?

We will first find the prime factorization of 76076 and 76090. After we will calculate the factors of 76076 and 76090 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 76090

Prime factors of 76090 are 2, 5, 7, 1087. Prime factorization of 76090 in exponential form is:

76090 = 2¹ × 5¹ × 7¹ × 1087¹

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 76090

List of positive integer factors of 76090 that divides 76076 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1087, 2174, 5435, 7609, 10870, 15218, 38045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76076 and 76090. The biggest common factor number is the GCF number.
So the greatest common factor 76076 and 76090 is 14.

Also check out the Least Common Multiple of 76076 and 76090