What is the Greatest Common Factor of 76065 and 76076?

Greatest common factor (GCF) of 76065 and 76076 is 11.

GCF(76065,76076) = 11

We will now calculate the prime factors of 76065 and 76076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76065 and 76076.

How to find the GCF of 76065 and 76076?

We will first find the prime factorization of 76065 and 76076. After we will calculate the factors of 76065 and 76076 and find the biggest common factor number .

Step-1: Prime Factorization of 76065

Prime factors of 76065 are 3, 5, 11, 461. Prime factorization of 76065 in exponential form is:

76065 = 3¹ × 5¹ × 11¹ × 461¹

Step-2: 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-3: Factors of 76065

List of positive integer factors of 76065 that divides 76065 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 461, 1383, 2305, 5071, 6915, 15213, 25355

Step-4: Factors of 76076

List of positive integer factors of 76076 that divides 76065 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76065 and 76076. The biggest common factor number is the GCF number.
So the greatest common factor 76065 and 76076 is 11.

Also check out the Least Common Multiple of 76065 and 76076