What is the Greatest Common Factor of 13253 and 13260?

Greatest common factor (GCF) of 13253 and 13260 is 1.

GCF(13253,13260) = 1

We will now calculate the prime factors of 13253 and 13260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13253 and 13260.

How to find the GCF of 13253 and 13260?

We will first find the prime factorization of 13253 and 13260. After we will calculate the factors of 13253 and 13260 and find the biggest common factor number .

Step-1: Prime Factorization of 13253

Prime factors of 13253 are 29, 457. Prime factorization of 13253 in exponential form is:

13253 = 29¹ × 457¹

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 13253

List of positive integer factors of 13253 that divides 13253 without a remainder.

1, 29, 457

Step-4: Factors of 13260

List of positive integer factors of 13260 that divides 13253 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 13253 and 13260. The biggest common factor number is the GCF number.
So the greatest common factor 13253 and 13260 is 1.

Also check out the Least Common Multiple of 13253 and 13260