What is the Greatest Common Factor of 30968 and 30977?

Greatest common factor (GCF) of 30968 and 30977 is 1.

GCF(30968,30977) = 1

We will now calculate the prime factors of 30968 and 30977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30968 and 30977.

How to find the GCF of 30968 and 30977?

We will first find the prime factorization of 30968 and 30977. After we will calculate the factors of 30968 and 30977 and find the biggest common factor number .

Step-1: Prime Factorization of 30968

Prime factors of 30968 are 2, 7, 79. Prime factorization of 30968 in exponential form is:

30968 = 2³ × 7² × 79¹

Step-2: Prime Factorization of 30977

Prime factors of 30977 are 30977. Prime factorization of 30977 in exponential form is:

30977 = 30977¹

Step-3: Factors of 30968

List of positive integer factors of 30968 that divides 30968 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 79, 98, 158, 196, 316, 392, 553, 632, 1106, 2212, 3871, 4424, 7742, 15484

Step-4: Factors of 30977

List of positive integer factors of 30977 that divides 30968 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30968 and 30977. The biggest common factor number is the GCF number.
So the greatest common factor 30968 and 30977 is 1.

Also check out the Least Common Multiple of 30968 and 30977