What is the Greatest Common Factor of 13536 and 13548?

Greatest common factor (GCF) of 13536 and 13548 is 12.

GCF(13536,13548) = 12

We will now calculate the prime factors of 13536 and 13548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13536 and 13548.

How to find the GCF of 13536 and 13548?

We will first find the prime factorization of 13536 and 13548. After we will calculate the factors of 13536 and 13548 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 13548

Prime factors of 13548 are 2, 3, 1129. Prime factorization of 13548 in exponential form is:

13548 = 2² × 3¹ × 1129¹

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 13548

List of positive integer factors of 13548 that divides 13536 without a remainder.

1, 2, 3, 4, 6, 12, 1129, 2258, 3387, 4516, 6774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13536 and 13548. The biggest common factor number is the GCF number.
So the greatest common factor 13536 and 13548 is 12.

Also check out the Least Common Multiple of 13536 and 13548