What is the Greatest Common Factor of 30976 and 30983?

Greatest common factor (GCF) of 30976 and 30983 is 1.

GCF(30976,30983) = 1

We will now calculate the prime factors of 30976 and 30983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30976 and 30983.

How to find the GCF of 30976 and 30983?

We will first find the prime factorization of 30976 and 30983. After we will calculate the factors of 30976 and 30983 and find the biggest common factor number .

Step-1: Prime Factorization of 30976

Prime factors of 30976 are 2, 11. Prime factorization of 30976 in exponential form is:

30976 = 2⁸ × 11²

Step-2: Prime Factorization of 30983

Prime factors of 30983 are 30983. Prime factorization of 30983 in exponential form is:

30983 = 30983¹

Step-3: Factors of 30976

List of positive integer factors of 30976 that divides 30976 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 256, 352, 484, 704, 968, 1408, 1936, 2816, 3872, 7744, 15488

Step-4: Factors of 30983

List of positive integer factors of 30983 that divides 30976 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30976 and 30983. The biggest common factor number is the GCF number.
So the greatest common factor 30976 and 30983 is 1.

Also check out the Least Common Multiple of 30976 and 30983