What is the Greatest Common Factor of 65317 and 65328?

Greatest common factor (GCF) of 65317 and 65328 is 1.

GCF(65317,65328) = 1

We will now calculate the prime factors of 65317 and 65328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65317 and 65328.

How to find the GCF of 65317 and 65328?

We will first find the prime factorization of 65317 and 65328. After we will calculate the factors of 65317 and 65328 and find the biggest common factor number .

Step-1: Prime Factorization of 65317

Prime factors of 65317 are 7, 31, 43. Prime factorization of 65317 in exponential form is:

65317 = 7² × 31¹ × 43¹

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 65317

List of positive integer factors of 65317 that divides 65317 without a remainder.

1, 7, 31, 43, 49, 217, 301, 1333, 1519, 2107, 9331

Step-4: Factors of 65328

List of positive integer factors of 65328 that divides 65317 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 65317 and 65328. The biggest common factor number is the GCF number.
So the greatest common factor 65317 and 65328 is 1.

Also check out the Least Common Multiple of 65317 and 65328