What is the Greatest Common Factor of 36700 and 36710?

Greatest common factor (GCF) of 36700 and 36710 is 10.

GCF(36700,36710) = 10

We will now calculate the prime factors of 36700 and 36710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36700 and 36710.

How to find the GCF of 36700 and 36710?

We will first find the prime factorization of 36700 and 36710. After we will calculate the factors of 36700 and 36710 and find the biggest common factor number .

Step-1: Prime Factorization of 36700

Prime factors of 36700 are 2, 5, 367. Prime factorization of 36700 in exponential form is:

36700 = 2² × 5² × 367¹

Step-2: Prime Factorization of 36710

Prime factors of 36710 are 2, 5, 3671. Prime factorization of 36710 in exponential form is:

36710 = 2¹ × 5¹ × 3671¹

Step-3: Factors of 36700

List of positive integer factors of 36700 that divides 36700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 367, 734, 1468, 1835, 3670, 7340, 9175, 18350

Step-4: Factors of 36710

List of positive integer factors of 36710 that divides 36700 without a remainder.

1, 2, 5, 10, 3671, 7342, 18355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36700 and 36710. The biggest common factor number is the GCF number.
So the greatest common factor 36700 and 36710 is 10.

Also check out the Least Common Multiple of 36700 and 36710