What is the Greatest Common Factor of 13536 and 13541?

Greatest common factor (GCF) of 13536 and 13541 is 1.

GCF(13536,13541) = 1

We will now calculate the prime factors of 13536 and 13541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13536 and 13541.

How to find the GCF of 13536 and 13541?

We will first find the prime factorization of 13536 and 13541. After we will calculate the factors of 13536 and 13541 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 13541

Prime factors of 13541 are 11, 1231. Prime factorization of 13541 in exponential form is:

13541 = 11¹ × 1231¹

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 13541

List of positive integer factors of 13541 that divides 13536 without a remainder.

1, 11, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13536 and 13541. The biggest common factor number is the GCF number.
So the greatest common factor 13536 and 13541 is 1.

Also check out the Least Common Multiple of 13536 and 13541