What is the Greatest Common Factor of 13638 and 13656?

Greatest common factor (GCF) of 13638 and 13656 is 6.

GCF(13638,13656) = 6

We will now calculate the prime factors of 13638 and 13656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13638 and 13656.

How to find the GCF of 13638 and 13656?

We will first find the prime factorization of 13638 and 13656. After we will calculate the factors of 13638 and 13656 and find the biggest common factor number .

Step-1: Prime Factorization of 13638

Prime factors of 13638 are 2, 3, 2273. Prime factorization of 13638 in exponential form is:

13638 = 2¹ × 3¹ × 2273¹

Step-2: Prime Factorization of 13656

Prime factors of 13656 are 2, 3, 569. Prime factorization of 13656 in exponential form is:

13656 = 2³ × 3¹ × 569¹

Step-3: Factors of 13638

List of positive integer factors of 13638 that divides 13638 without a remainder.

1, 2, 3, 6, 2273, 4546, 6819

Step-4: Factors of 13656

List of positive integer factors of 13656 that divides 13638 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 569, 1138, 1707, 2276, 3414, 4552, 6828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13638 and 13656. The biggest common factor number is the GCF number.
So the greatest common factor 13638 and 13656 is 6.

Also check out the Least Common Multiple of 13638 and 13656