What is the Greatest Common Factor of 13536 and 13542?

Greatest common factor (GCF) of 13536 and 13542 is 6.

GCF(13536,13542) = 6

We will now calculate the prime factors of 13536 and 13542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13536 and 13542.

How to find the GCF of 13536 and 13542?

We will first find the prime factorization of 13536 and 13542. After we will calculate the factors of 13536 and 13542 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 13542

Prime factors of 13542 are 2, 3, 37, 61. Prime factorization of 13542 in exponential form is:

13542 = 2¹ × 3¹ × 37¹ × 61¹

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 13542

List of positive integer factors of 13542 that divides 13536 without a remainder.

1, 2, 3, 6, 37, 61, 74, 111, 122, 183, 222, 366, 2257, 4514, 6771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13536 and 13542. The biggest common factor number is the GCF number.
So the greatest common factor 13536 and 13542 is 6.

Also check out the Least Common Multiple of 13536 and 13542