What is the Greatest Common Factor of 13521 and 13536?

Greatest common factor (GCF) of 13521 and 13536 is 3.

GCF(13521,13536) = 3

We will now calculate the prime factors of 13521 and 13536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13521 and 13536.

How to find the GCF of 13521 and 13536?

We will first find the prime factorization of 13521 and 13536. After we will calculate the factors of 13521 and 13536 and find the biggest common factor number .

Step-1: Prime Factorization of 13521

Prime factors of 13521 are 3, 4507. Prime factorization of 13521 in exponential form is:

13521 = 3¹ × 4507¹

Step-2: 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-3: Factors of 13521

List of positive integer factors of 13521 that divides 13521 without a remainder.

1, 3, 4507

Step-4: Factors of 13536

List of positive integer factors of 13536 that divides 13521 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13521 and 13536. The biggest common factor number is the GCF number.
So the greatest common factor 13521 and 13536 is 3.

Also check out the Least Common Multiple of 13521 and 13536