What is the Greatest Common Factor of 65259 and 65274?

Greatest common factor (GCF) of 65259 and 65274 is 3.

GCF(65259,65274) = 3

We will now calculate the prime factors of 65259 and 65274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65259 and 65274.

How to find the GCF of 65259 and 65274?

We will first find the prime factorization of 65259 and 65274. After we will calculate the factors of 65259 and 65274 and find the biggest common factor number .

Step-1: Prime Factorization of 65259

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

65259 = 3³ × 2417¹

Step-2: Prime Factorization of 65274

Prime factors of 65274 are 2, 3, 11, 23, 43. Prime factorization of 65274 in exponential form is:

65274 = 2¹ × 3¹ × 11¹ × 23¹ × 43¹

Step-3: Factors of 65259

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

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

Step-4: Factors of 65274

List of positive integer factors of 65274 that divides 65259 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 43, 46, 66, 69, 86, 129, 138, 253, 258, 473, 506, 759, 946, 989, 1419, 1518, 1978, 2838, 2967, 5934, 10879, 21758, 32637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65259 and 65274. The biggest common factor number is the GCF number.
So the greatest common factor 65259 and 65274 is 3.

Also check out the Least Common Multiple of 65259 and 65274