What is the Greatest Common Factor of 6640 and 6650?

Greatest common factor (GCF) of 6640 and 6650 is 10.

GCF(6640,6650) = 10

We will now calculate the prime factors of 6640 and 6650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6640 and 6650.

How to find the GCF of 6640 and 6650?

We will first find the prime factorization of 6640 and 6650. After we will calculate the factors of 6640 and 6650 and find the biggest common factor number .

Step-1: Prime Factorization of 6640

Prime factors of 6640 are 2, 5, 83. Prime factorization of 6640 in exponential form is:

6640 = 2⁴ × 5¹ × 83¹

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 6640

List of positive integer factors of 6640 that divides 6640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320

Step-4: Factors of 6650

List of positive integer factors of 6650 that divides 6640 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 6640 and 6650. The biggest common factor number is the GCF number.
So the greatest common factor 6640 and 6650 is 10.

Also check out the Least Common Multiple of 6640 and 6650