What is the Greatest Common Factor of 65241 and 65259?

Greatest common factor (GCF) of 65241 and 65259 is 9.

GCF(65241,65259) = 9

We will now calculate the prime factors of 65241 and 65259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65241 and 65259.

How to find the GCF of 65241 and 65259?

We will first find the prime factorization of 65241 and 65259. After we will calculate the factors of 65241 and 65259 and find the biggest common factor number .

Step-1: Prime Factorization of 65241

Prime factors of 65241 are 3, 11, 659. Prime factorization of 65241 in exponential form is:

65241 = 3² × 11¹ × 659¹

Step-2: Prime Factorization of 65259

Prime factors of 65259 are 3, 2417. Prime factorization of 65259 in exponential form is:

65259 = 3³ × 2417¹

Step-3: Factors of 65241

List of positive integer factors of 65241 that divides 65241 without a remainder.

1, 3, 9, 11, 33, 99, 659, 1977, 5931, 7249, 21747

Step-4: Factors of 65259

List of positive integer factors of 65259 that divides 65241 without a remainder.

1, 3, 9, 27, 2417, 7251, 21753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65241 and 65259. The biggest common factor number is the GCF number.
So the greatest common factor 65241 and 65259 is 9.

Also check out the Least Common Multiple of 65241 and 65259