What is the Greatest Common Factor of 76605 and 76615?

Greatest common factor (GCF) of 76605 and 76615 is 5.

GCF(76605,76615) = 5

We will now calculate the prime factors of 76605 and 76615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76605 and 76615.

How to find the GCF of 76605 and 76615?

We will first find the prime factorization of 76605 and 76615. After we will calculate the factors of 76605 and 76615 and find the biggest common factor number .

Step-1: Prime Factorization of 76605

Prime factors of 76605 are 3, 5, 5107. Prime factorization of 76605 in exponential form is:

76605 = 3¹ × 5¹ × 5107¹

Step-2: Prime Factorization of 76615

Prime factors of 76615 are 5, 7, 11, 199. Prime factorization of 76615 in exponential form is:

76615 = 5¹ × 7¹ × 11¹ × 199¹

Step-3: Factors of 76605

List of positive integer factors of 76605 that divides 76605 without a remainder.

1, 3, 5, 15, 5107, 15321, 25535

Step-4: Factors of 76615

List of positive integer factors of 76615 that divides 76605 without a remainder.

1, 5, 7, 11, 35, 55, 77, 199, 385, 995, 1393, 2189, 6965, 10945, 15323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76605 and 76615. The biggest common factor number is the GCF number.
So the greatest common factor 76605 and 76615 is 5.

Also check out the Least Common Multiple of 76605 and 76615