What is the Greatest Common Factor of 65247 and 65260?

Greatest common factor (GCF) of 65247 and 65260 is 13.

GCF(65247,65260) = 13

We will now calculate the prime factors of 65247 and 65260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65247 and 65260.

How to find the GCF of 65247 and 65260?

We will first find the prime factorization of 65247 and 65260. After we will calculate the factors of 65247 and 65260 and find the biggest common factor number .

Step-1: Prime Factorization of 65247

Prime factors of 65247 are 3, 7, 13, 239. Prime factorization of 65247 in exponential form is:

65247 = 3¹ × 7¹ × 13¹ × 239¹

Step-2: Prime Factorization of 65260

Prime factors of 65260 are 2, 5, 13, 251. Prime factorization of 65260 in exponential form is:

65260 = 2² × 5¹ × 13¹ × 251¹

Step-3: Factors of 65247

List of positive integer factors of 65247 that divides 65247 without a remainder.

1, 3, 7, 13, 21, 39, 91, 239, 273, 717, 1673, 3107, 5019, 9321, 21749

Step-4: Factors of 65260

List of positive integer factors of 65260 that divides 65247 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 251, 260, 502, 1004, 1255, 2510, 3263, 5020, 6526, 13052, 16315, 32630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65247 and 65260. The biggest common factor number is the GCF number.
So the greatest common factor 65247 and 65260 is 13.

Also check out the Least Common Multiple of 65247 and 65260