What is the Greatest Common Factor of 13536 and 13546?

Greatest common factor (GCF) of 13536 and 13546 is 2.

GCF(13536,13546) = 2

We will now calculate the prime factors of 13536 and 13546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13536 and 13546.

How to find the GCF of 13536 and 13546?

We will first find the prime factorization of 13536 and 13546. After we will calculate the factors of 13536 and 13546 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 13546

Prime factors of 13546 are 2, 13, 521. Prime factorization of 13546 in exponential form is:

13546 = 2¹ × 13¹ × 521¹

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 13546

List of positive integer factors of 13546 that divides 13536 without a remainder.

1, 2, 13, 26, 521, 1042, 6773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13536 and 13546. The biggest common factor number is the GCF number.
So the greatest common factor 13536 and 13546 is 2.

Also check out the Least Common Multiple of 13536 and 13546