What is the Greatest Common Factor of 13520 and 13536?

Greatest common factor (GCF) of 13520 and 13536 is 16.

GCF(13520,13536) = 16

We will now calculate the prime factors of 13520 and 13536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13520 and 13536.

How to find the GCF of 13520 and 13536?

We will first find the prime factorization of 13520 and 13536. After we will calculate the factors of 13520 and 13536 and find the biggest common factor number .

Step-1: Prime Factorization of 13520

Prime factors of 13520 are 2, 5, 13. Prime factorization of 13520 in exponential form is:

13520 = 2⁴ × 5¹ × 13²

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 13520

List of positive integer factors of 13520 that divides 13520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 169, 208, 260, 338, 520, 676, 845, 1040, 1352, 1690, 2704, 3380, 6760

Step-4: Factors of 13536

List of positive integer factors of 13536 that divides 13520 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 13520 and 13536. The biggest common factor number is the GCF number.
So the greatest common factor 13520 and 13536 is 16.

Also check out the Least Common Multiple of 13520 and 13536