What is the Greatest Common Factor of 6650 and 6655?

Greatest common factor (GCF) of 6650 and 6655 is 5.

GCF(6650,6655) = 5

We will now calculate the prime factors of 6650 and 6655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6650 and 6655.

How to find the GCF of 6650 and 6655?

We will first find the prime factorization of 6650 and 6655. After we will calculate the factors of 6650 and 6655 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 6655

Prime factors of 6655 are 5, 11. Prime factorization of 6655 in exponential form is:

6655 = 5¹ × 11³

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 6655

List of positive integer factors of 6655 that divides 6650 without a remainder.

1, 5, 11, 55, 121, 605, 1331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6650 and 6655. The biggest common factor number is the GCF number.
So the greatest common factor 6650 and 6655 is 5.

Also check out the Least Common Multiple of 6650 and 6655