What is the Greatest Common Factor of 76076 and 76087?

Greatest common factor (GCF) of 76076 and 76087 is 11.

GCF(76076,76087) = 11

We will now calculate the prime factors of 76076 and 76087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76076 and 76087.

How to find the GCF of 76076 and 76087?

We will first find the prime factorization of 76076 and 76087. After we will calculate the factors of 76076 and 76087 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 76087

Prime factors of 76087 are 11, 6917. Prime factorization of 76087 in exponential form is:

76087 = 11¹ × 6917¹

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 76087

List of positive integer factors of 76087 that divides 76076 without a remainder.

1, 11, 6917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76076 and 76087. The biggest common factor number is the GCF number.
So the greatest common factor 76076 and 76087 is 11.

Also check out the Least Common Multiple of 76076 and 76087