What is the Greatest Common Factor of 76619 and 76636?

Greatest common factor (GCF) of 76619 and 76636 is 17.

GCF(76619,76636) = 17

We will now calculate the prime factors of 76619 and 76636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76619 and 76636.

How to find the GCF of 76619 and 76636?

We will first find the prime factorization of 76619 and 76636. After we will calculate the factors of 76619 and 76636 and find the biggest common factor number .

Step-1: Prime Factorization of 76619

Prime factors of 76619 are 17, 4507. Prime factorization of 76619 in exponential form is:

76619 = 17¹ × 4507¹

Step-2: Prime Factorization of 76636

Prime factors of 76636 are 2, 7, 17, 23. Prime factorization of 76636 in exponential form is:

76636 = 2² × 7² × 17¹ × 23¹

Step-3: Factors of 76619

List of positive integer factors of 76619 that divides 76619 without a remainder.

1, 17, 4507

Step-4: Factors of 76636

List of positive integer factors of 76636 that divides 76619 without a remainder.

1, 2, 4, 7, 14, 17, 23, 28, 34, 46, 49, 68, 92, 98, 119, 161, 196, 238, 322, 391, 476, 644, 782, 833, 1127, 1564, 1666, 2254, 2737, 3332, 4508, 5474, 10948, 19159, 38318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76619 and 76636. The biggest common factor number is the GCF number.
So the greatest common factor 76619 and 76636 is 17.

Also check out the Least Common Multiple of 76619 and 76636