What is the Greatest Common Factor of 13504 and 13520?

Greatest common factor (GCF) of 13504 and 13520 is 16.

GCF(13504,13520) = 16

We will now calculate the prime factors of 13504 and 13520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13504 and 13520.

How to find the GCF of 13504 and 13520?

We will first find the prime factorization of 13504 and 13520. After we will calculate the factors of 13504 and 13520 and find the biggest common factor number .

Step-1: Prime Factorization of 13504

Prime factors of 13504 are 2, 211. Prime factorization of 13504 in exponential form is:

13504 = 2⁶ × 211¹

Step-2: 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-3: Factors of 13504

List of positive integer factors of 13504 that divides 13504 without a remainder.

1, 2, 4, 8, 16, 32, 64, 211, 422, 844, 1688, 3376, 6752

Step-4: Factors of 13520

List of positive integer factors of 13520 that divides 13504 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13504 and 13520. The biggest common factor number is the GCF number.
So the greatest common factor 13504 and 13520 is 16.

Also check out the Least Common Multiple of 13504 and 13520