What is the Greatest Common Factor of 96964 and 96983?

Greatest common factor (GCF) of 96964 and 96983 is 1.

GCF(96964,96983) = 1

We will now calculate the prime factors of 96964 and 96983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96964 and 96983.

How to find the GCF of 96964 and 96983?

We will first find the prime factorization of 96964 and 96983. After we will calculate the factors of 96964 and 96983 and find the biggest common factor number .

Step-1: Prime Factorization of 96964

Prime factors of 96964 are 2, 7, 3463. Prime factorization of 96964 in exponential form is:

96964 = 2² × 7¹ × 3463¹

Step-2: Prime Factorization of 96983

Prime factors of 96983 are 293, 331. Prime factorization of 96983 in exponential form is:

96983 = 293¹ × 331¹

Step-3: Factors of 96964

List of positive integer factors of 96964 that divides 96964 without a remainder.

1, 2, 4, 7, 14, 28, 3463, 6926, 13852, 24241, 48482

Step-4: Factors of 96983

List of positive integer factors of 96983 that divides 96964 without a remainder.

1, 293, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96964 and 96983. The biggest common factor number is the GCF number.
So the greatest common factor 96964 and 96983 is 1.

Also check out the Least Common Multiple of 96964 and 96983