What is the Greatest Common Factor of 76605 and 76623?

Greatest common factor (GCF) of 76605 and 76623 is 3.

GCF(76605,76623) = 3

We will now calculate the prime factors of 76605 and 76623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76605 and 76623.

How to find the GCF of 76605 and 76623?

We will first find the prime factorization of 76605 and 76623. After we will calculate the factors of 76605 and 76623 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 76623

Prime factors of 76623 are 3, 25541. Prime factorization of 76623 in exponential form is:

76623 = 3¹ × 25541¹

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 76623

List of positive integer factors of 76623 that divides 76605 without a remainder.

1, 3, 25541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76605 and 76623. The biggest common factor number is the GCF number.
So the greatest common factor 76605 and 76623 is 3.

Also check out the Least Common Multiple of 76605 and 76623