What is the Greatest Common Factor of 96216 and 96231?

Greatest common factor (GCF) of 96216 and 96231 is 3.

GCF(96216,96231) = 3

We will now calculate the prime factors of 96216 and 96231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96216 and 96231.

How to find the GCF of 96216 and 96231?

We will first find the prime factorization of 96216 and 96231. After we will calculate the factors of 96216 and 96231 and find the biggest common factor number .

Step-1: Prime Factorization of 96216

Prime factors of 96216 are 2, 3, 19, 211. Prime factorization of 96216 in exponential form is:

96216 = 2³ × 3¹ × 19¹ × 211¹

Step-2: Prime Factorization of 96231

Prime factors of 96231 are 3, 32077. Prime factorization of 96231 in exponential form is:

96231 = 3¹ × 32077¹

Step-3: Factors of 96216

List of positive integer factors of 96216 that divides 96216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 211, 228, 422, 456, 633, 844, 1266, 1688, 2532, 4009, 5064, 8018, 12027, 16036, 24054, 32072, 48108

Step-4: Factors of 96231

List of positive integer factors of 96231 that divides 96216 without a remainder.

1, 3, 32077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96216 and 96231. The biggest common factor number is the GCF number.
So the greatest common factor 96216 and 96231 is 3.

Also check out the Least Common Multiple of 96216 and 96231