What is the Greatest Common Factor of 6631 and 6650?

Greatest common factor (GCF) of 6631 and 6650 is 19.

GCF(6631,6650) = 19

We will now calculate the prime factors of 6631 and 6650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6631 and 6650.

How to find the GCF of 6631 and 6650?

We will first find the prime factorization of 6631 and 6650. After we will calculate the factors of 6631 and 6650 and find the biggest common factor number .

Step-1: Prime Factorization of 6631

Prime factors of 6631 are 19, 349. Prime factorization of 6631 in exponential form is:

6631 = 19¹ × 349¹

Step-2: 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-3: Factors of 6631

List of positive integer factors of 6631 that divides 6631 without a remainder.

1, 19, 349

Step-4: Factors of 6650

List of positive integer factors of 6650 that divides 6631 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6631 and 6650. The biggest common factor number is the GCF number.
So the greatest common factor 6631 and 6650 is 19.

Also check out the Least Common Multiple of 6631 and 6650