What is the Greatest Common Factor of 96216 and 96235?

Greatest common factor (GCF) of 96216 and 96235 is 19.

GCF(96216,96235) = 19

We will now calculate the prime factors of 96216 and 96235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96216 and 96235.

How to find the GCF of 96216 and 96235?

We will first find the prime factorization of 96216 and 96235. After we will calculate the factors of 96216 and 96235 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 96235

Prime factors of 96235 are 5, 19, 1013. Prime factorization of 96235 in exponential form is:

96235 = 5¹ × 19¹ × 1013¹

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 96235

List of positive integer factors of 96235 that divides 96216 without a remainder.

1, 5, 19, 95, 1013, 5065, 19247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96216 and 96235. The biggest common factor number is the GCF number.
So the greatest common factor 96216 and 96235 is 19.

Also check out the Least Common Multiple of 96216 and 96235