What is the Greatest Common Factor of 13374 and 13388?

Greatest common factor (GCF) of 13374 and 13388 is 2.

GCF(13374,13388) = 2

We will now calculate the prime factors of 13374 and 13388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13374 and 13388.

How to find the GCF of 13374 and 13388?

We will first find the prime factorization of 13374 and 13388. After we will calculate the factors of 13374 and 13388 and find the biggest common factor number .

Step-1: Prime Factorization of 13374

Prime factors of 13374 are 2, 3, 743. Prime factorization of 13374 in exponential form is:

13374 = 2¹ × 3² × 743¹

Step-2: Prime Factorization of 13388

Prime factors of 13388 are 2, 3347. Prime factorization of 13388 in exponential form is:

13388 = 2² × 3347¹

Step-3: Factors of 13374

List of positive integer factors of 13374 that divides 13374 without a remainder.

1, 2, 3, 6, 9, 18, 743, 1486, 2229, 4458, 6687

Step-4: Factors of 13388

List of positive integer factors of 13388 that divides 13374 without a remainder.

1, 2, 4, 3347, 6694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13374 and 13388. The biggest common factor number is the GCF number.
So the greatest common factor 13374 and 13388 is 2.

Also check out the Least Common Multiple of 13374 and 13388