What is the Greatest Common Factor of 65325 and 65336?

Greatest common factor (GCF) of 65325 and 65336 is 1.

GCF(65325,65336) = 1

We will now calculate the prime factors of 65325 and 65336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65325 and 65336.

How to find the GCF of 65325 and 65336?

We will first find the prime factorization of 65325 and 65336. After we will calculate the factors of 65325 and 65336 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65336

Prime factors of 65336 are 2, 8167. Prime factorization of 65336 in exponential form is:

65336 = 2³ × 8167¹

Step-3: Factors of 65325

List of positive integer factors of 65325 that divides 65325 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

Step-4: Factors of 65336

List of positive integer factors of 65336 that divides 65325 without a remainder.

1, 2, 4, 8, 8167, 16334, 32668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65325 and 65336. The biggest common factor number is the GCF number.
So the greatest common factor 65325 and 65336 is 1.

Also check out the Least Common Multiple of 65325 and 65336