What is the Greatest Common Factor of 96736 and 96754?

Greatest common factor (GCF) of 96736 and 96754 is 2.

GCF(96736,96754) = 2

We will now calculate the prime factors of 96736 and 96754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96736 and 96754.

How to find the GCF of 96736 and 96754?

We will first find the prime factorization of 96736 and 96754. After we will calculate the factors of 96736 and 96754 and find the biggest common factor number .

Step-1: Prime Factorization of 96736

Prime factors of 96736 are 2, 3023. Prime factorization of 96736 in exponential form is:

96736 = 2⁵ × 3023¹

Step-2: Prime Factorization of 96754

Prime factors of 96754 are 2, 7, 6911. Prime factorization of 96754 in exponential form is:

96754 = 2¹ × 7¹ × 6911¹

Step-3: Factors of 96736

List of positive integer factors of 96736 that divides 96736 without a remainder.

1, 2, 4, 8, 16, 32, 3023, 6046, 12092, 24184, 48368

Step-4: Factors of 96754

List of positive integer factors of 96754 that divides 96736 without a remainder.

1, 2, 7, 14, 6911, 13822, 48377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96736 and 96754. The biggest common factor number is the GCF number.
So the greatest common factor 96736 and 96754 is 2.

Also check out the Least Common Multiple of 96736 and 96754