What is the Greatest Common Factor of 96729 and 96748?

Greatest common factor (GCF) of 96729 and 96748 is 19.

GCF(96729,96748) = 19

We will now calculate the prime factors of 96729 and 96748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96729 and 96748.

How to find the GCF of 96729 and 96748?

We will first find the prime factorization of 96729 and 96748. After we will calculate the factors of 96729 and 96748 and find the biggest common factor number .

Step-1: Prime Factorization of 96729

Prime factors of 96729 are 3, 19, 1697. Prime factorization of 96729 in exponential form is:

96729 = 3¹ × 19¹ × 1697¹

Step-2: Prime Factorization of 96748

Prime factors of 96748 are 2, 19, 67. Prime factorization of 96748 in exponential form is:

96748 = 2² × 19² × 67¹

Step-3: Factors of 96729

List of positive integer factors of 96729 that divides 96729 without a remainder.

1, 3, 19, 57, 1697, 5091, 32243

Step-4: Factors of 96748

List of positive integer factors of 96748 that divides 96729 without a remainder.

1, 2, 4, 19, 38, 67, 76, 134, 268, 361, 722, 1273, 1444, 2546, 5092, 24187, 48374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96729 and 96748. The biggest common factor number is the GCF number.
So the greatest common factor 96729 and 96748 is 19.

Also check out the Least Common Multiple of 96729 and 96748