What is the Greatest Common Factor of 13380 and 13397?

Greatest common factor (GCF) of 13380 and 13397 is 1.

GCF(13380,13397) = 1

We will now calculate the prime factors of 13380 and 13397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13380 and 13397.

How to find the GCF of 13380 and 13397?

We will first find the prime factorization of 13380 and 13397. After we will calculate the factors of 13380 and 13397 and find the biggest common factor number .

Step-1: Prime Factorization of 13380

Prime factors of 13380 are 2, 3, 5, 223. Prime factorization of 13380 in exponential form is:

13380 = 2² × 3¹ × 5¹ × 223¹

Step-2: Prime Factorization of 13397

Prime factors of 13397 are 13397. Prime factorization of 13397 in exponential form is:

13397 = 13397¹

Step-3: Factors of 13380

List of positive integer factors of 13380 that divides 13380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 223, 446, 669, 892, 1115, 1338, 2230, 2676, 3345, 4460, 6690

Step-4: Factors of 13397

List of positive integer factors of 13397 that divides 13380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13380 and 13397. The biggest common factor number is the GCF number.
So the greatest common factor 13380 and 13397 is 1.

Also check out the Least Common Multiple of 13380 and 13397