What is the Greatest Common Factor of 36680 and 36700?

Greatest common factor (GCF) of 36680 and 36700 is 20.

GCF(36680,36700) = 20

We will now calculate the prime factors of 36680 and 36700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36680 and 36700.

How to find the GCF of 36680 and 36700?

We will first find the prime factorization of 36680 and 36700. After we will calculate the factors of 36680 and 36700 and find the biggest common factor number .

Step-1: Prime Factorization of 36680

Prime factors of 36680 are 2, 5, 7, 131. Prime factorization of 36680 in exponential form is:

36680 = 2³ × 5¹ × 7¹ × 131¹

Step-2: 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-3: Factors of 36680

List of positive integer factors of 36680 that divides 36680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 131, 140, 262, 280, 524, 655, 917, 1048, 1310, 1834, 2620, 3668, 4585, 5240, 7336, 9170, 18340

Step-4: Factors of 36700

List of positive integer factors of 36700 that divides 36680 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36680 and 36700. The biggest common factor number is the GCF number.
So the greatest common factor 36680 and 36700 is 20.

Also check out the Least Common Multiple of 36680 and 36700