What is the Greatest Common Factor of 96729 and 96742?

Greatest common factor (GCF) of 96729 and 96742 is 1.

GCF(96729,96742) = 1

We will now calculate the prime factors of 96729 and 96742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96729 and 96742.

How to find the GCF of 96729 and 96742?

We will first find the prime factorization of 96729 and 96742. After we will calculate the factors of 96729 and 96742 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 96742

Prime factors of 96742 are 2, 48371. Prime factorization of 96742 in exponential form is:

96742 = 2¹ × 48371¹

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 96742

List of positive integer factors of 96742 that divides 96729 without a remainder.

1, 2, 48371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96729 and 96742. The biggest common factor number is the GCF number.
So the greatest common factor 96729 and 96742 is 1.

Also check out the Least Common Multiple of 96729 and 96742