What is the Greatest Common Factor of 76076 and 76095?

Greatest common factor (GCF) of 76076 and 76095 is 19.

GCF(76076,76095) = 19

We will now calculate the prime factors of 76076 and 76095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76076 and 76095.

How to find the GCF of 76076 and 76095?

We will first find the prime factorization of 76076 and 76095. After we will calculate the factors of 76076 and 76095 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 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 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 76095

List of positive integer factors of 76095 that divides 76076 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 76076 and 76095. The biggest common factor number is the GCF number.
So the greatest common factor 76076 and 76095 is 19.

Also check out the Least Common Multiple of 76076 and 76095