What is the Greatest Common Factor of 76806 and 76823?

Greatest common factor (GCF) of 76806 and 76823 is 17.

GCF(76806,76823) = 17

We will now calculate the prime factors of 76806 and 76823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76806 and 76823.

How to find the GCF of 76806 and 76823?

We will first find the prime factorization of 76806 and 76823. After we will calculate the factors of 76806 and 76823 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76823

Prime factors of 76823 are 17, 4519. Prime factorization of 76823 in exponential form is:

76823 = 17¹ × 4519¹

Step-3: Factors of 76806

List of positive integer factors of 76806 that divides 76806 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

Step-4: Factors of 76823

List of positive integer factors of 76823 that divides 76806 without a remainder.

1, 17, 4519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76806 and 76823. The biggest common factor number is the GCF number.
So the greatest common factor 76806 and 76823 is 17.

Also check out the Least Common Multiple of 76806 and 76823