What is the Greatest Common Factor of 43536 and 43548?

Greatest common factor (GCF) of 43536 and 43548 is 12.

GCF(43536,43548) = 12

We will now calculate the prime factors of 43536 and 43548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43536 and 43548.

How to find the GCF of 43536 and 43548?

We will first find the prime factorization of 43536 and 43548. After we will calculate the factors of 43536 and 43548 and find the biggest common factor number .

Step-1: Prime Factorization of 43536

Prime factors of 43536 are 2, 3, 907. Prime factorization of 43536 in exponential form is:

43536 = 2⁴ × 3¹ × 907¹

Step-2: Prime Factorization of 43548

Prime factors of 43548 are 2, 3, 19, 191. Prime factorization of 43548 in exponential form is:

43548 = 2² × 3¹ × 19¹ × 191¹

Step-3: Factors of 43536

List of positive integer factors of 43536 that divides 43536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768

Step-4: Factors of 43548

List of positive integer factors of 43548 that divides 43536 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 191, 228, 382, 573, 764, 1146, 2292, 3629, 7258, 10887, 14516, 21774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43536 and 43548. The biggest common factor number is the GCF number.
So the greatest common factor 43536 and 43548 is 12.

Also check out the Least Common Multiple of 43536 and 43548