What is the Greatest Common Factor of 65312 and 65325?

Greatest common factor (GCF) of 65312 and 65325 is 13.

GCF(65312,65325) = 13

We will now calculate the prime factors of 65312 and 65325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65312 and 65325.

How to find the GCF of 65312 and 65325?

We will first find the prime factorization of 65312 and 65325. After we will calculate the factors of 65312 and 65325 and find the biggest common factor number .

Step-1: Prime Factorization of 65312

Prime factors of 65312 are 2, 13, 157. Prime factorization of 65312 in exponential form is:

65312 = 2⁵ × 13¹ × 157¹

Step-2: Prime Factorization of 65325

Prime factors of 65325 are 3, 5, 13, 67. Prime factorization of 65325 in exponential form is:

65325 = 3¹ × 5² × 13¹ × 67¹

Step-3: Factors of 65312

List of positive integer factors of 65312 that divides 65312 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 157, 208, 314, 416, 628, 1256, 2041, 2512, 4082, 5024, 8164, 16328, 32656

Step-4: Factors of 65325

List of positive integer factors of 65325 that divides 65312 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 67, 75, 195, 201, 325, 335, 871, 975, 1005, 1675, 2613, 4355, 5025, 13065, 21775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65312 and 65325. The biggest common factor number is the GCF number.
So the greatest common factor 65312 and 65325 is 13.

Also check out the Least Common Multiple of 65312 and 65325