What is the Greatest Common Factor of 96738 and 96754?

Greatest common factor (GCF) of 96738 and 96754 is 2.

GCF(96738,96754) = 2

We will now calculate the prime factors of 96738 and 96754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96738 and 96754.

How to find the GCF of 96738 and 96754?

We will first find the prime factorization of 96738 and 96754. After we will calculate the factors of 96738 and 96754 and find the biggest common factor number .

Step-1: Prime Factorization of 96738

Prime factors of 96738 are 2, 3, 23, 701. Prime factorization of 96738 in exponential form is:

96738 = 2¹ × 3¹ × 23¹ × 701¹

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 96738

List of positive integer factors of 96738 that divides 96738 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 701, 1402, 2103, 4206, 16123, 32246, 48369

Step-4: Factors of 96754

List of positive integer factors of 96754 that divides 96738 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96738 and 96754. The biggest common factor number is the GCF number.
So the greatest common factor 96738 and 96754 is 2.

Also check out the Least Common Multiple of 96738 and 96754