What is the Greatest Common Factor of 76630 and 76645?

Greatest common factor (GCF) of 76630 and 76645 is 5.

GCF(76630,76645) = 5

We will now calculate the prime factors of 76630 and 76645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76630 and 76645.

How to find the GCF of 76630 and 76645?

We will first find the prime factorization of 76630 and 76645. After we will calculate the factors of 76630 and 76645 and find the biggest common factor number .

Step-1: Prime Factorization of 76630

Prime factors of 76630 are 2, 5, 79, 97. Prime factorization of 76630 in exponential form is:

76630 = 2¹ × 5¹ × 79¹ × 97¹

Step-2: Prime Factorization of 76645

Prime factors of 76645 are 5, 15329. Prime factorization of 76645 in exponential form is:

76645 = 5¹ × 15329¹

Step-3: Factors of 76630

List of positive integer factors of 76630 that divides 76630 without a remainder.

1, 2, 5, 10, 79, 97, 158, 194, 395, 485, 790, 970, 7663, 15326, 38315

Step-4: Factors of 76645

List of positive integer factors of 76645 that divides 76630 without a remainder.

1, 5, 15329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76630 and 76645. The biggest common factor number is the GCF number.
So the greatest common factor 76630 and 76645 is 5.

Also check out the Least Common Multiple of 76630 and 76645