What is the Greatest Common Factor of 96357 and 96372?

Greatest common factor (GCF) of 96357 and 96372 is 3.

GCF(96357,96372) = 3

We will now calculate the prime factors of 96357 and 96372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96357 and 96372.

How to find the GCF of 96357 and 96372?

We will first find the prime factorization of 96357 and 96372. After we will calculate the factors of 96357 and 96372 and find the biggest common factor number .

Step-1: Prime Factorization of 96357

Prime factors of 96357 are 3, 32119. Prime factorization of 96357 in exponential form is:

96357 = 3¹ × 32119¹

Step-2: Prime Factorization of 96372

Prime factors of 96372 are 2, 3, 2677. Prime factorization of 96372 in exponential form is:

96372 = 2² × 3² × 2677¹

Step-3: Factors of 96357

List of positive integer factors of 96357 that divides 96357 without a remainder.

1, 3, 32119

Step-4: Factors of 96372

List of positive integer factors of 96372 that divides 96357 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2677, 5354, 8031, 10708, 16062, 24093, 32124, 48186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96357 and 96372. The biggest common factor number is the GCF number.
So the greatest common factor 96357 and 96372 is 3.

Also check out the Least Common Multiple of 96357 and 96372