What is the Greatest Common Factor of 96934 and 96951?

Greatest common factor (GCF) of 96934 and 96951 is 17.

GCF(96934,96951) = 17

We will now calculate the prime factors of 96934 and 96951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96934 and 96951.

How to find the GCF of 96934 and 96951?

We will first find the prime factorization of 96934 and 96951. After we will calculate the factors of 96934 and 96951 and find the biggest common factor number .

Step-1: Prime Factorization of 96934

Prime factors of 96934 are 2, 17, 2851. Prime factorization of 96934 in exponential form is:

96934 = 2¹ × 17¹ × 2851¹

Step-2: Prime Factorization of 96951

Prime factors of 96951 are 3, 17, 1901. Prime factorization of 96951 in exponential form is:

96951 = 3¹ × 17¹ × 1901¹

Step-3: Factors of 96934

List of positive integer factors of 96934 that divides 96934 without a remainder.

1, 2, 17, 34, 2851, 5702, 48467

Step-4: Factors of 96951

List of positive integer factors of 96951 that divides 96934 without a remainder.

1, 3, 17, 51, 1901, 5703, 32317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96934 and 96951. The biggest common factor number is the GCF number.
So the greatest common factor 96934 and 96951 is 17.

Also check out the Least Common Multiple of 96934 and 96951