What is the Greatest Common Factor of 36968 and 36975?

Greatest common factor (GCF) of 36968 and 36975 is 1.

GCF(36968,36975) = 1

We will now calculate the prime factors of 36968 and 36975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36968 and 36975.

How to find the GCF of 36968 and 36975?

We will first find the prime factorization of 36968 and 36975. After we will calculate the factors of 36968 and 36975 and find the biggest common factor number .

Step-1: Prime Factorization of 36968

Prime factors of 36968 are 2, 4621. Prime factorization of 36968 in exponential form is:

36968 = 2³ × 4621¹

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 36968

List of positive integer factors of 36968 that divides 36968 without a remainder.

1, 2, 4, 8, 4621, 9242, 18484

Step-4: Factors of 36975

List of positive integer factors of 36975 that divides 36968 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 36968 and 36975. The biggest common factor number is the GCF number.
So the greatest common factor 36968 and 36975 is 1.

Also check out the Least Common Multiple of 36968 and 36975