What is the Greatest Common Factor of 65325 and 65337?

Greatest common factor (GCF) of 65325 and 65337 is 3.

GCF(65325,65337) = 3

We will now calculate the prime factors of 65325 and 65337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65325 and 65337.

How to find the GCF of 65325 and 65337?

We will first find the prime factorization of 65325 and 65337. After we will calculate the factors of 65325 and 65337 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 65337

Prime factors of 65337 are 3, 29, 751. Prime factorization of 65337 in exponential form is:

65337 = 3¹ × 29¹ × 751¹

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 65337

List of positive integer factors of 65337 that divides 65325 without a remainder.

1, 3, 29, 87, 751, 2253, 21779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65325 and 65337. The biggest common factor number is the GCF number.
So the greatest common factor 65325 and 65337 is 3.

Also check out the Least Common Multiple of 65325 and 65337