What is the Greatest Common Factor of 76613 and 76627?

Greatest common factor (GCF) of 76613 and 76627 is 1.

GCF(76613,76627) = 1

We will now calculate the prime factors of 76613 and 76627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76613 and 76627.

How to find the GCF of 76613 and 76627?

We will first find the prime factorization of 76613 and 76627. After we will calculate the factors of 76613 and 76627 and find the biggest common factor number .

Step-1: Prime Factorization of 76613

Prime factors of 76613 are 23, 3331. Prime factorization of 76613 in exponential form is:

76613 = 23¹ × 3331¹

Step-2: Prime Factorization of 76627

Prime factors of 76627 are 19, 37, 109. Prime factorization of 76627 in exponential form is:

76627 = 19¹ × 37¹ × 109¹

Step-3: Factors of 76613

List of positive integer factors of 76613 that divides 76613 without a remainder.

1, 23, 3331

Step-4: Factors of 76627

List of positive integer factors of 76627 that divides 76613 without a remainder.

1, 19, 37, 109, 703, 2071, 4033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76613 and 76627. The biggest common factor number is the GCF number.
So the greatest common factor 76613 and 76627 is 1.

Also check out the Least Common Multiple of 76613 and 76627