What is the Greatest Common Factor of 76605 and 76611?

Greatest common factor (GCF) of 76605 and 76611 is 3.

GCF(76605,76611) = 3

We will now calculate the prime factors of 76605 and 76611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76605 and 76611.

How to find the GCF of 76605 and 76611?

We will first find the prime factorization of 76605 and 76611. After we will calculate the factors of 76605 and 76611 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 76611

Prime factors of 76611 are 3, 25537. Prime factorization of 76611 in exponential form is:

76611 = 3¹ × 25537¹

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 76611

List of positive integer factors of 76611 that divides 76605 without a remainder.

1, 3, 25537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76605 and 76611. The biggest common factor number is the GCF number.
So the greatest common factor 76605 and 76611 is 3.

Also check out the Least Common Multiple of 76605 and 76611