What is the Greatest Common Factor of 76636 and 76643?

Greatest common factor (GCF) of 76636 and 76643 is 7.

GCF(76636,76643) = 7

We will now calculate the prime factors of 76636 and 76643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76636 and 76643.

How to find the GCF of 76636 and 76643?

We will first find the prime factorization of 76636 and 76643. After we will calculate the factors of 76636 and 76643 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76643

Prime factors of 76643 are 7, 10949. Prime factorization of 76643 in exponential form is:

76643 = 7¹ × 10949¹

Step-3: Factors of 76636

List of positive integer factors of 76636 that divides 76636 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

Step-4: Factors of 76643

List of positive integer factors of 76643 that divides 76636 without a remainder.

1, 7, 10949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76636 and 76643. The biggest common factor number is the GCF number.
So the greatest common factor 76636 and 76643 is 7.

Also check out the Least Common Multiple of 76636 and 76643