What is the Greatest Common Factor of 13536 and 13554?

Greatest common factor (GCF) of 13536 and 13554 is 18.

GCF(13536,13554) = 18

We will now calculate the prime factors of 13536 and 13554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13536 and 13554.

How to find the GCF of 13536 and 13554?

We will first find the prime factorization of 13536 and 13554. After we will calculate the factors of 13536 and 13554 and find the biggest common factor number .

Step-1: Prime Factorization of 13536

Prime factors of 13536 are 2, 3, 47. Prime factorization of 13536 in exponential form is:

13536 = 2⁵ × 3² × 47¹

Step-2: Prime Factorization of 13554

Prime factors of 13554 are 2, 3, 251. Prime factorization of 13554 in exponential form is:

13554 = 2¹ × 3³ × 251¹

Step-3: Factors of 13536

List of positive integer factors of 13536 that divides 13536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 47, 48, 72, 94, 96, 141, 144, 188, 282, 288, 376, 423, 564, 752, 846, 1128, 1504, 1692, 2256, 3384, 4512, 6768

Step-4: Factors of 13554

List of positive integer factors of 13554 that divides 13536 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 251, 502, 753, 1506, 2259, 4518, 6777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13536 and 13554. The biggest common factor number is the GCF number.
So the greatest common factor 13536 and 13554 is 18.

Also check out the Least Common Multiple of 13536 and 13554