What is the Greatest Common Factor of 6670 and 6680?

Greatest common factor (GCF) of 6670 and 6680 is 10.

GCF(6670,6680) = 10

We will now calculate the prime factors of 6670 and 6680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6670 and 6680.

How to find the GCF of 6670 and 6680?

We will first find the prime factorization of 6670 and 6680. After we will calculate the factors of 6670 and 6680 and find the biggest common factor number .

Step-1: Prime Factorization of 6670

Prime factors of 6670 are 2, 5, 23, 29. Prime factorization of 6670 in exponential form is:

6670 = 2¹ × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 6680

Prime factors of 6680 are 2, 5, 167. Prime factorization of 6680 in exponential form is:

6680 = 2³ × 5¹ × 167¹

Step-3: Factors of 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335

Step-4: Factors of 6680

List of positive integer factors of 6680 that divides 6670 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6670 and 6680. The biggest common factor number is the GCF number.
So the greatest common factor 6670 and 6680 is 10.

Also check out the Least Common Multiple of 6670 and 6680