What is the Greatest Common Factor of 36970 and 36975?

Greatest common factor (GCF) of 36970 and 36975 is 5.

GCF(36970,36975) = 5

We will now calculate the prime factors of 36970 and 36975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36970 and 36975.

How to find the GCF of 36970 and 36975?

We will first find the prime factorization of 36970 and 36975. After we will calculate the factors of 36970 and 36975 and find the biggest common factor number .

Step-1: Prime Factorization of 36970

Prime factors of 36970 are 2, 5, 3697. Prime factorization of 36970 in exponential form is:

36970 = 2¹ × 5¹ × 3697¹

Step-2: Prime Factorization of 36975

Prime factors of 36975 are 3, 5, 17, 29. Prime factorization of 36975 in exponential form is:

36975 = 3¹ × 5² × 17¹ × 29¹

Step-3: Factors of 36970

List of positive integer factors of 36970 that divides 36970 without a remainder.

1, 2, 5, 10, 3697, 7394, 18485

Step-4: Factors of 36975

List of positive integer factors of 36975 that divides 36970 without a remainder.

1, 3, 5, 15, 17, 25, 29, 51, 75, 85, 87, 145, 255, 425, 435, 493, 725, 1275, 1479, 2175, 2465, 7395, 12325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36970 and 36975. The biggest common factor number is the GCF number.
So the greatest common factor 36970 and 36975 is 5.

Also check out the Least Common Multiple of 36970 and 36975