What is the Greatest Common Factor of 76206 and 76215?

Greatest common factor (GCF) of 76206 and 76215 is 3.

GCF(76206,76215) = 3

We will now calculate the prime factors of 76206 and 76215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76206 and 76215.

How to find the GCF of 76206 and 76215?

We will first find the prime factorization of 76206 and 76215. After we will calculate the factors of 76206 and 76215 and find the biggest common factor number .

Step-1: Prime Factorization of 76206

Prime factors of 76206 are 2, 3, 13, 977. Prime factorization of 76206 in exponential form is:

76206 = 2¹ × 3¹ × 13¹ × 977¹

Step-2: Prime Factorization of 76215

Prime factors of 76215 are 3, 5, 5081. Prime factorization of 76215 in exponential form is:

76215 = 3¹ × 5¹ × 5081¹

Step-3: Factors of 76206

List of positive integer factors of 76206 that divides 76206 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 977, 1954, 2931, 5862, 12701, 25402, 38103

Step-4: Factors of 76215

List of positive integer factors of 76215 that divides 76206 without a remainder.

1, 3, 5, 15, 5081, 15243, 25405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76206 and 76215. The biggest common factor number is the GCF number.
So the greatest common factor 76206 and 76215 is 3.

Also check out the Least Common Multiple of 76206 and 76215