What is the Greatest Common Factor of 76627 and 76635?

Greatest common factor (GCF) of 76627 and 76635 is 1.

GCF(76627,76635) = 1

We will now calculate the prime factors of 76627 and 76635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76627 and 76635.

How to find the GCF of 76627 and 76635?

We will first find the prime factorization of 76627 and 76635. After we will calculate the factors of 76627 and 76635 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76635

Prime factors of 76635 are 3, 5, 13, 131. Prime factorization of 76635 in exponential form is:

76635 = 3² × 5¹ × 13¹ × 131¹

Step-3: Factors of 76627

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

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

Step-4: Factors of 76635

List of positive integer factors of 76635 that divides 76627 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 131, 195, 393, 585, 655, 1179, 1703, 1965, 5109, 5895, 8515, 15327, 25545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76627 and 76635. The biggest common factor number is the GCF number.
So the greatest common factor 76627 and 76635 is 1.

Also check out the Least Common Multiple of 76627 and 76635