What is the Greatest Common Factor of 31975 and 31994?

Greatest common factor (GCF) of 31975 and 31994 is 1.

GCF(31975,31994) = 1

We will now calculate the prime factors of 31975 and 31994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31975 and 31994.

How to find the GCF of 31975 and 31994?

We will first find the prime factorization of 31975 and 31994. After we will calculate the factors of 31975 and 31994 and find the biggest common factor number .

Step-1: Prime Factorization of 31975

Prime factors of 31975 are 5, 1279. Prime factorization of 31975 in exponential form is:

31975 = 5² × 1279¹

Step-2: Prime Factorization of 31994

Prime factors of 31994 are 2, 17, 941. Prime factorization of 31994 in exponential form is:

31994 = 2¹ × 17¹ × 941¹

Step-3: Factors of 31975

List of positive integer factors of 31975 that divides 31975 without a remainder.

1, 5, 25, 1279, 6395

Step-4: Factors of 31994

List of positive integer factors of 31994 that divides 31975 without a remainder.

1, 2, 17, 34, 941, 1882, 15997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31975 and 31994. The biggest common factor number is the GCF number.
So the greatest common factor 31975 and 31994 is 1.

Also check out the Least Common Multiple of 31975 and 31994