What is the Greatest Common Factor of 30978 and 30997?

Greatest common factor (GCF) of 30978 and 30997 is 1.

GCF(30978,30997) = 1

We will now calculate the prime factors of 30978 and 30997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30978 and 30997.

How to find the GCF of 30978 and 30997?

We will first find the prime factorization of 30978 and 30997. After we will calculate the factors of 30978 and 30997 and find the biggest common factor number .

Step-1: Prime Factorization of 30978

Prime factors of 30978 are 2, 3, 1721. Prime factorization of 30978 in exponential form is:

30978 = 2¹ × 3² × 1721¹

Step-2: Prime Factorization of 30997

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

30997 = 139¹ × 223¹

Step-3: Factors of 30978

List of positive integer factors of 30978 that divides 30978 without a remainder.

1, 2, 3, 6, 9, 18, 1721, 3442, 5163, 10326, 15489

Step-4: Factors of 30997

List of positive integer factors of 30997 that divides 30978 without a remainder.

1, 139, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30978 and 30997. The biggest common factor number is the GCF number.
So the greatest common factor 30978 and 30997 is 1.

Also check out the Least Common Multiple of 30978 and 30997