What is the Greatest Common Factor of 13255 and 13260?

Greatest common factor (GCF) of 13255 and 13260 is 5.

GCF(13255,13260) = 5

We will now calculate the prime factors of 13255 and 13260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13255 and 13260.

How to find the GCF of 13255 and 13260?

We will first find the prime factorization of 13255 and 13260. After we will calculate the factors of 13255 and 13260 and find the biggest common factor number .

Step-1: Prime Factorization of 13255

Prime factors of 13255 are 5, 11, 241. Prime factorization of 13255 in exponential form is:

13255 = 5¹ × 11¹ × 241¹

Step-2: Prime Factorization of 13260

Prime factors of 13260 are 2, 3, 5, 13, 17. Prime factorization of 13260 in exponential form is:

13260 = 2² × 3¹ × 5¹ × 13¹ × 17¹

Step-3: Factors of 13255

List of positive integer factors of 13255 that divides 13255 without a remainder.

1, 5, 11, 55, 241, 1205, 2651

Step-4: Factors of 13260

List of positive integer factors of 13260 that divides 13255 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 17, 20, 26, 30, 34, 39, 51, 52, 60, 65, 68, 78, 85, 102, 130, 156, 170, 195, 204, 221, 255, 260, 340, 390, 442, 510, 663, 780, 884, 1020, 1105, 1326, 2210, 2652, 3315, 4420, 6630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13255 and 13260. The biggest common factor number is the GCF number.
So the greatest common factor 13255 and 13260 is 5.

Also check out the Least Common Multiple of 13255 and 13260