What is the Greatest Common Factor of 96948 and 96959?

Greatest common factor (GCF) of 96948 and 96959 is 1.

GCF(96948,96959) = 1

We will now calculate the prime factors of 96948 and 96959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96948 and 96959.

How to find the GCF of 96948 and 96959?

We will first find the prime factorization of 96948 and 96959. After we will calculate the factors of 96948 and 96959 and find the biggest common factor number .

Step-1: Prime Factorization of 96948

Prime factors of 96948 are 2, 3, 2693. Prime factorization of 96948 in exponential form is:

96948 = 2² × 3² × 2693¹

Step-2: Prime Factorization of 96959

Prime factors of 96959 are 96959. Prime factorization of 96959 in exponential form is:

96959 = 96959¹

Step-3: Factors of 96948

List of positive integer factors of 96948 that divides 96948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2693, 5386, 8079, 10772, 16158, 24237, 32316, 48474

Step-4: Factors of 96959

List of positive integer factors of 96959 that divides 96948 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96948 and 96959. The biggest common factor number is the GCF number.
So the greatest common factor 96948 and 96959 is 1.

Also check out the Least Common Multiple of 96948 and 96959