What is the Greatest Common Factor of 6625 and 6645?

Greatest common factor (GCF) of 6625 and 6645 is 5.

GCF(6625,6645) = 5

We will now calculate the prime factors of 6625 and 6645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6625 and 6645.

How to find the GCF of 6625 and 6645?

We will first find the prime factorization of 6625 and 6645. After we will calculate the factors of 6625 and 6645 and find the biggest common factor number .

Step-1: Prime Factorization of 6625

Prime factors of 6625 are 5, 53. Prime factorization of 6625 in exponential form is:

6625 = 5³ × 53¹

Step-2: Prime Factorization of 6645

Prime factors of 6645 are 3, 5, 443. Prime factorization of 6645 in exponential form is:

6645 = 3¹ × 5¹ × 443¹

Step-3: Factors of 6625

List of positive integer factors of 6625 that divides 6625 without a remainder.

1, 5, 25, 53, 125, 265, 1325

Step-4: Factors of 6645

List of positive integer factors of 6645 that divides 6625 without a remainder.

1, 3, 5, 15, 443, 1329, 2215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6625 and 6645. The biggest common factor number is the GCF number.
So the greatest common factor 6625 and 6645 is 5.

Also check out the Least Common Multiple of 6625 and 6645