What is the Greatest Common Factor of 65260 and 65273?

Greatest common factor (GCF) of 65260 and 65273 is 13.

GCF(65260,65273) = 13

We will now calculate the prime factors of 65260 and 65273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65260 and 65273.

How to find the GCF of 65260 and 65273?

We will first find the prime factorization of 65260 and 65273. After we will calculate the factors of 65260 and 65273 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65273

Prime factors of 65273 are 13, 5021. Prime factorization of 65273 in exponential form is:

65273 = 13¹ × 5021¹

Step-3: Factors of 65260

List of positive integer factors of 65260 that divides 65260 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

Step-4: Factors of 65273

List of positive integer factors of 65273 that divides 65260 without a remainder.

1, 13, 5021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65260 and 65273. The biggest common factor number is the GCF number.
So the greatest common factor 65260 and 65273 is 13.

Also check out the Least Common Multiple of 65260 and 65273