What is the Greatest Common Factor of 96926 and 96934?

Greatest common factor (GCF) of 96926 and 96934 is 2.

GCF(96926,96934) = 2

We will now calculate the prime factors of 96926 and 96934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96926 and 96934.

How to find the GCF of 96926 and 96934?

We will first find the prime factorization of 96926 and 96934. After we will calculate the factors of 96926 and 96934 and find the biggest common factor number .

Step-1: Prime Factorization of 96926

Prime factors of 96926 are 2, 48463. Prime factorization of 96926 in exponential form is:

96926 = 2¹ × 48463¹

Step-2: 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-3: Factors of 96926

List of positive integer factors of 96926 that divides 96926 without a remainder.

1, 2, 48463

Step-4: Factors of 96934

List of positive integer factors of 96934 that divides 96926 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96926 and 96934. The biggest common factor number is the GCF number.
So the greatest common factor 96926 and 96934 is 2.

Also check out the Least Common Multiple of 96926 and 96934