What is the Greatest Common Factor of 96745 and 96756?

Greatest common factor (GCF) of 96745 and 96756 is 11.

GCF(96745,96756) = 11

We will now calculate the prime factors of 96745 and 96756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96745 and 96756.

How to find the GCF of 96745 and 96756?

We will first find the prime factorization of 96745 and 96756. After we will calculate the factors of 96745 and 96756 and find the biggest common factor number .

Step-1: Prime Factorization of 96745

Prime factors of 96745 are 5, 11, 1759. Prime factorization of 96745 in exponential form is:

96745 = 5¹ × 11¹ × 1759¹

Step-2: Prime Factorization of 96756

Prime factors of 96756 are 2, 3, 11, 733. Prime factorization of 96756 in exponential form is:

96756 = 2² × 3¹ × 11¹ × 733¹

Step-3: Factors of 96745

List of positive integer factors of 96745 that divides 96745 without a remainder.

1, 5, 11, 55, 1759, 8795, 19349

Step-4: Factors of 96756

List of positive integer factors of 96756 that divides 96745 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 733, 1466, 2199, 2932, 4398, 8063, 8796, 16126, 24189, 32252, 48378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96745 and 96756. The biggest common factor number is the GCF number.
So the greatest common factor 96745 and 96756 is 11.

Also check out the Least Common Multiple of 96745 and 96756