What is the Greatest Common Factor of 96243 and 96252?

Greatest common factor (GCF) of 96243 and 96252 is 3.

GCF(96243,96252) = 3

We will now calculate the prime factors of 96243 and 96252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96243 and 96252.

How to find the GCF of 96243 and 96252?

We will first find the prime factorization of 96243 and 96252. After we will calculate the factors of 96243 and 96252 and find the biggest common factor number .

Step-1: Prime Factorization of 96243

Prime factors of 96243 are 3, 7, 4583. Prime factorization of 96243 in exponential form is:

96243 = 3¹ × 7¹ × 4583¹

Step-2: Prime Factorization of 96252

Prime factors of 96252 are 2, 3, 13, 617. Prime factorization of 96252 in exponential form is:

96252 = 2² × 3¹ × 13¹ × 617¹

Step-3: Factors of 96243

List of positive integer factors of 96243 that divides 96243 without a remainder.

1, 3, 7, 21, 4583, 13749, 32081

Step-4: Factors of 96252

List of positive integer factors of 96252 that divides 96243 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 617, 1234, 1851, 2468, 3702, 7404, 8021, 16042, 24063, 32084, 48126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96243 and 96252. The biggest common factor number is the GCF number.
So the greatest common factor 96243 and 96252 is 3.

Also check out the Least Common Multiple of 96243 and 96252