What is the Greatest Common Factor of 13348 and 13364?

Greatest common factor (GCF) of 13348 and 13364 is 4.

GCF(13348,13364) = 4

We will now calculate the prime factors of 13348 and 13364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13348 and 13364.

How to find the GCF of 13348 and 13364?

We will first find the prime factorization of 13348 and 13364. After we will calculate the factors of 13348 and 13364 and find the biggest common factor number .

Step-1: Prime Factorization of 13348

Prime factors of 13348 are 2, 47, 71. Prime factorization of 13348 in exponential form is:

13348 = 2² × 47¹ × 71¹

Step-2: Prime Factorization of 13364

Prime factors of 13364 are 2, 13, 257. Prime factorization of 13364 in exponential form is:

13364 = 2² × 13¹ × 257¹

Step-3: Factors of 13348

List of positive integer factors of 13348 that divides 13348 without a remainder.

1, 2, 4, 47, 71, 94, 142, 188, 284, 3337, 6674

Step-4: Factors of 13364

List of positive integer factors of 13364 that divides 13348 without a remainder.

1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13348 and 13364. The biggest common factor number is the GCF number.
So the greatest common factor 13348 and 13364 is 4.

Also check out the Least Common Multiple of 13348 and 13364