What is the Greatest Common Factor of 76788 and 76806?

Greatest common factor (GCF) of 76788 and 76806 is 18.

GCF(76788,76806) = 18

We will now calculate the prime factors of 76788 and 76806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76788 and 76806.

How to find the GCF of 76788 and 76806?

We will first find the prime factorization of 76788 and 76806. After we will calculate the factors of 76788 and 76806 and find the biggest common factor number .

Step-1: Prime Factorization of 76788

Prime factors of 76788 are 2, 3, 79. Prime factorization of 76788 in exponential form is:

76788 = 2² × 3⁵ × 79¹

Step-2: Prime Factorization of 76806

Prime factors of 76806 are 2, 3, 17, 251. Prime factorization of 76806 in exponential form is:

76806 = 2¹ × 3² × 17¹ × 251¹

Step-3: Factors of 76788

List of positive integer factors of 76788 that divides 76788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 81, 108, 158, 162, 237, 243, 316, 324, 474, 486, 711, 948, 972, 1422, 2133, 2844, 4266, 6399, 8532, 12798, 19197, 25596, 38394

Step-4: Factors of 76806

List of positive integer factors of 76806 that divides 76788 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 251, 306, 502, 753, 1506, 2259, 4267, 4518, 8534, 12801, 25602, 38403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76788 and 76806. The biggest common factor number is the GCF number.
So the greatest common factor 76788 and 76806 is 18.

Also check out the Least Common Multiple of 76788 and 76806