What is the Greatest Common Factor of 6650 and 6670?

Greatest common factor (GCF) of 6650 and 6670 is 10.

GCF(6650,6670) = 10

We will now calculate the prime factors of 6650 and 6670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6650 and 6670.

How to find the GCF of 6650 and 6670?

We will first find the prime factorization of 6650 and 6670. After we will calculate the factors of 6650 and 6670 and find the biggest common factor number .

Step-1: Prime Factorization of 6650

Prime factors of 6650 are 2, 5, 7, 19. Prime factorization of 6650 in exponential form is:

6650 = 2¹ × 5² × 7¹ × 19¹

Step-2: 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-3: Factors of 6650

List of positive integer factors of 6650 that divides 6650 without a remainder.

1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325

Step-4: Factors of 6670

List of positive integer factors of 6670 that divides 6650 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6650 and 6670. The biggest common factor number is the GCF number.
So the greatest common factor 6650 and 6670 is 10.

Also check out the Least Common Multiple of 6650 and 6670