What is the Greatest Common Factor of 30974 and 30991?

Greatest common factor (GCF) of 30974 and 30991 is 17.

GCF(30974,30991) = 17

We will now calculate the prime factors of 30974 and 30991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30974 and 30991.

How to find the GCF of 30974 and 30991?

We will first find the prime factorization of 30974 and 30991. After we will calculate the factors of 30974 and 30991 and find the biggest common factor number .

Step-1: Prime Factorization of 30974

Prime factors of 30974 are 2, 17, 911. Prime factorization of 30974 in exponential form is:

30974 = 2¹ × 17¹ × 911¹

Step-2: Prime Factorization of 30991

Prime factors of 30991 are 17, 1823. Prime factorization of 30991 in exponential form is:

30991 = 17¹ × 1823¹

Step-3: Factors of 30974

List of positive integer factors of 30974 that divides 30974 without a remainder.

1, 2, 17, 34, 911, 1822, 15487

Step-4: Factors of 30991

List of positive integer factors of 30991 that divides 30974 without a remainder.

1, 17, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30974 and 30991. The biggest common factor number is the GCF number.
So the greatest common factor 30974 and 30991 is 17.

Also check out the Least Common Multiple of 30974 and 30991