What is the Greatest Common Factor of 36975 and 36994?

Greatest common factor (GCF) of 36975 and 36994 is 1.

GCF(36975,36994) = 1

We will now calculate the prime factors of 36975 and 36994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36975 and 36994.

How to find the GCF of 36975 and 36994?

We will first find the prime factorization of 36975 and 36994. After we will calculate the factors of 36975 and 36994 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36994

Prime factors of 36994 are 2, 53, 349. Prime factorization of 36994 in exponential form is:

36994 = 2¹ × 53¹ × 349¹

Step-3: Factors of 36975

List of positive integer factors of 36975 that divides 36975 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

Step-4: Factors of 36994

List of positive integer factors of 36994 that divides 36975 without a remainder.

1, 2, 53, 106, 349, 698, 18497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36975 and 36994. The biggest common factor number is the GCF number.
So the greatest common factor 36975 and 36994 is 1.

Also check out the Least Common Multiple of 36975 and 36994