What is the Greatest Common Factor of 76806 and 76815?

Greatest common factor (GCF) of 76806 and 76815 is 9.

GCF(76806,76815) = 9

We will now calculate the prime factors of 76806 and 76815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76806 and 76815.

How to find the GCF of 76806 and 76815?

We will first find the prime factorization of 76806 and 76815. After we will calculate the factors of 76806 and 76815 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 76815

Prime factors of 76815 are 3, 5, 569. Prime factorization of 76815 in exponential form is:

76815 = 3³ × 5¹ × 569¹

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 76815

List of positive integer factors of 76815 that divides 76806 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 569, 1707, 2845, 5121, 8535, 15363, 25605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76806 and 76815. The biggest common factor number is the GCF number.
So the greatest common factor 76806 and 76815 is 9.

Also check out the Least Common Multiple of 76806 and 76815