What is the Greatest Common Factor of 65313 and 65328?

Greatest common factor (GCF) of 65313 and 65328 is 3.

GCF(65313,65328) = 3

We will now calculate the prime factors of 65313 and 65328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65313 and 65328.

How to find the GCF of 65313 and 65328?

We will first find the prime factorization of 65313 and 65328. After we will calculate the factors of 65313 and 65328 and find the biggest common factor number .

Step-1: Prime Factorization of 65313

Prime factors of 65313 are 3, 41, 59. Prime factorization of 65313 in exponential form is:

65313 = 3³ × 41¹ × 59¹

Step-2: Prime Factorization of 65328

Prime factors of 65328 are 2, 3, 1361. Prime factorization of 65328 in exponential form is:

65328 = 2⁴ × 3¹ × 1361¹

Step-3: Factors of 65313

List of positive integer factors of 65313 that divides 65313 without a remainder.

1, 3, 9, 27, 41, 59, 123, 177, 369, 531, 1107, 1593, 2419, 7257, 21771

Step-4: Factors of 65328

List of positive integer factors of 65328 that divides 65313 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1361, 2722, 4083, 5444, 8166, 10888, 16332, 21776, 32664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65313 and 65328. The biggest common factor number is the GCF number.
So the greatest common factor 65313 and 65328 is 3.

Also check out the Least Common Multiple of 65313 and 65328