What is the Greatest Common Factor of 13347 and 13362?

Greatest common factor (GCF) of 13347 and 13362 is 3.

GCF(13347,13362) = 3

We will now calculate the prime factors of 13347 and 13362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13347 and 13362.

How to find the GCF of 13347 and 13362?

We will first find the prime factorization of 13347 and 13362. After we will calculate the factors of 13347 and 13362 and find the biggest common factor number .

Step-1: Prime Factorization of 13347

Prime factors of 13347 are 3, 1483. Prime factorization of 13347 in exponential form is:

13347 = 3² × 1483¹

Step-2: Prime Factorization of 13362

Prime factors of 13362 are 2, 3, 17, 131. Prime factorization of 13362 in exponential form is:

13362 = 2¹ × 3¹ × 17¹ × 131¹

Step-3: Factors of 13347

List of positive integer factors of 13347 that divides 13347 without a remainder.

1, 3, 9, 1483, 4449

Step-4: Factors of 13362

List of positive integer factors of 13362 that divides 13347 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 131, 262, 393, 786, 2227, 4454, 6681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13347 and 13362. The biggest common factor number is the GCF number.
So the greatest common factor 13347 and 13362 is 3.

Also check out the Least Common Multiple of 13347 and 13362