What is the Greatest Common Factor of 65217 and 65232?

Greatest common factor (GCF) of 65217 and 65232 is 3.

GCF(65217,65232) = 3

We will now calculate the prime factors of 65217 and 65232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65217 and 65232.

How to find the GCF of 65217 and 65232?

We will first find the prime factorization of 65217 and 65232. After we will calculate the factors of 65217 and 65232 and find the biggest common factor number .

Step-1: Prime Factorization of 65217

Prime factors of 65217 are 3, 21739. Prime factorization of 65217 in exponential form is:

65217 = 3¹ × 21739¹

Step-2: Prime Factorization of 65232

Prime factors of 65232 are 2, 3, 151. Prime factorization of 65232 in exponential form is:

65232 = 2⁴ × 3³ × 151¹

Step-3: Factors of 65217

List of positive integer factors of 65217 that divides 65217 without a remainder.

1, 3, 21739

Step-4: Factors of 65232

List of positive integer factors of 65232 that divides 65217 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 151, 216, 302, 432, 453, 604, 906, 1208, 1359, 1812, 2416, 2718, 3624, 4077, 5436, 7248, 8154, 10872, 16308, 21744, 32616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65217 and 65232. The biggest common factor number is the GCF number.
So the greatest common factor 65217 and 65232 is 3.

Also check out the Least Common Multiple of 65217 and 65232