What is the Greatest Common Factor of 30997 and 31016?

Greatest common factor (GCF) of 30997 and 31016 is 1.

GCF(30997,31016) = 1

We will now calculate the prime factors of 30997 and 31016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30997 and 31016.

How to find the GCF of 30997 and 31016?

We will first find the prime factorization of 30997 and 31016. After we will calculate the factors of 30997 and 31016 and find the biggest common factor number .

Step-1: Prime Factorization of 30997

Prime factors of 30997 are 139, 223. Prime factorization of 30997 in exponential form is:

30997 = 139¹ × 223¹

Step-2: Prime Factorization of 31016

Prime factors of 31016 are 2, 3877. Prime factorization of 31016 in exponential form is:

31016 = 2³ × 3877¹

Step-3: Factors of 30997

List of positive integer factors of 30997 that divides 30997 without a remainder.

1, 139, 223

Step-4: Factors of 31016

List of positive integer factors of 31016 that divides 30997 without a remainder.

1, 2, 4, 8, 3877, 7754, 15508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30997 and 31016. The biggest common factor number is the GCF number.
So the greatest common factor 30997 and 31016 is 1.

Also check out the Least Common Multiple of 30997 and 31016