What is the Greatest Common Factor of 96234 and 96249?

Greatest common factor (GCF) of 96234 and 96249 is 3.

GCF(96234,96249) = 3

We will now calculate the prime factors of 96234 and 96249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96234 and 96249.

How to find the GCF of 96234 and 96249?

We will first find the prime factorization of 96234 and 96249. After we will calculate the factors of 96234 and 96249 and find the biggest common factor number .

Step-1: Prime Factorization of 96234

Prime factors of 96234 are 2, 3, 43, 373. Prime factorization of 96234 in exponential form is:

96234 = 2¹ × 3¹ × 43¹ × 373¹

Step-2: Prime Factorization of 96249

Prime factors of 96249 are 3, 32083. Prime factorization of 96249 in exponential form is:

96249 = 3¹ × 32083¹

Step-3: Factors of 96234

List of positive integer factors of 96234 that divides 96234 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 373, 746, 1119, 2238, 16039, 32078, 48117

Step-4: Factors of 96249

List of positive integer factors of 96249 that divides 96234 without a remainder.

1, 3, 32083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96234 and 96249. The biggest common factor number is the GCF number.
So the greatest common factor 96234 and 96249 is 3.

Also check out the Least Common Multiple of 96234 and 96249