What is the Greatest Common Factor of 65325 and 65339?

Greatest common factor (GCF) of 65325 and 65339 is 1.

GCF(65325,65339) = 1

We will now calculate the prime factors of 65325 and 65339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65325 and 65339.

How to find the GCF of 65325 and 65339?

We will first find the prime factorization of 65325 and 65339. After we will calculate the factors of 65325 and 65339 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 65339

Prime factors of 65339 are 223, 293. Prime factorization of 65339 in exponential form is:

65339 = 223¹ × 293¹

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 65339

List of positive integer factors of 65339 that divides 65325 without a remainder.

1, 223, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65325 and 65339. The biggest common factor number is the GCF number.
So the greatest common factor 65325 and 65339 is 1.

Also check out the Least Common Multiple of 65325 and 65339