What is the Greatest Common Factor of 36650 and 36670?

Greatest common factor (GCF) of 36650 and 36670 is 10.

GCF(36650,36670) = 10

We will now calculate the prime factors of 36650 and 36670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36650 and 36670.

How to find the GCF of 36650 and 36670?

We will first find the prime factorization of 36650 and 36670. After we will calculate the factors of 36650 and 36670 and find the biggest common factor number .

Step-1: Prime Factorization of 36650

Prime factors of 36650 are 2, 5, 733. Prime factorization of 36650 in exponential form is:

36650 = 2¹ × 5² × 733¹

Step-2: Prime Factorization of 36670

Prime factors of 36670 are 2, 5, 19, 193. Prime factorization of 36670 in exponential form is:

36670 = 2¹ × 5¹ × 19¹ × 193¹

Step-3: Factors of 36650

List of positive integer factors of 36650 that divides 36650 without a remainder.

1, 2, 5, 10, 25, 50, 733, 1466, 3665, 7330, 18325

Step-4: Factors of 36670

List of positive integer factors of 36670 that divides 36650 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 193, 386, 965, 1930, 3667, 7334, 18335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36650 and 36670. The biggest common factor number is the GCF number.
So the greatest common factor 36650 and 36670 is 10.

Also check out the Least Common Multiple of 36650 and 36670