What is the Greatest Common Factor of 31998 and 32017?

Greatest common factor (GCF) of 31998 and 32017 is 1.

GCF(31998,32017) = 1

We will now calculate the prime factors of 31998 and 32017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31998 and 32017.

How to find the GCF of 31998 and 32017?

We will first find the prime factorization of 31998 and 32017. After we will calculate the factors of 31998 and 32017 and find the biggest common factor number .

Step-1: Prime Factorization of 31998

Prime factors of 31998 are 2, 3, 5333. Prime factorization of 31998 in exponential form is:

31998 = 2¹ × 3¹ × 5333¹

Step-2: Prime Factorization of 32017

Prime factors of 32017 are 101, 317. Prime factorization of 32017 in exponential form is:

32017 = 101¹ × 317¹

Step-3: Factors of 31998

List of positive integer factors of 31998 that divides 31998 without a remainder.

1, 2, 3, 6, 5333, 10666, 15999

Step-4: Factors of 32017

List of positive integer factors of 32017 that divides 31998 without a remainder.

1, 101, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31998 and 32017. The biggest common factor number is the GCF number.
So the greatest common factor 31998 and 32017 is 1.

Also check out the Least Common Multiple of 31998 and 32017