What is the Greatest Common Factor of 6645 and 6665?

Greatest common factor (GCF) of 6645 and 6665 is 5.

GCF(6645,6665) = 5

We will now calculate the prime factors of 6645 and 6665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6645 and 6665.

How to find the GCF of 6645 and 6665?

We will first find the prime factorization of 6645 and 6665. After we will calculate the factors of 6645 and 6665 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6665

Prime factors of 6665 are 5, 31, 43. Prime factorization of 6665 in exponential form is:

6665 = 5¹ × 31¹ × 43¹

Step-3: Factors of 6645

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

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

Step-4: Factors of 6665

List of positive integer factors of 6665 that divides 6645 without a remainder.

1, 5, 31, 43, 155, 215, 1333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6645 and 6665. The biggest common factor number is the GCF number.
So the greatest common factor 6645 and 6665 is 5.

Also check out the Least Common Multiple of 6645 and 6665