What is the Greatest Common Factor of 36670 and 36689?

Greatest common factor (GCF) of 36670 and 36689 is 19.

GCF(36670,36689) = 19

We will now calculate the prime factors of 36670 and 36689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36670 and 36689.

How to find the GCF of 36670 and 36689?

We will first find the prime factorization of 36670 and 36689. After we will calculate the factors of 36670 and 36689 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36689

Prime factors of 36689 are 19, 1931. Prime factorization of 36689 in exponential form is:

36689 = 19¹ × 1931¹

Step-3: Factors of 36670

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

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

Step-4: Factors of 36689

List of positive integer factors of 36689 that divides 36670 without a remainder.

1, 19, 1931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36670 and 36689. The biggest common factor number is the GCF number.
So the greatest common factor 36670 and 36689 is 19.

Also check out the Least Common Multiple of 36670 and 36689