What is the Greatest Common Factor of 43536 and 43556?

Greatest common factor (GCF) of 43536 and 43556 is 4.

GCF(43536,43556) = 4

We will now calculate the prime factors of 43536 and 43556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43536 and 43556.

How to find the GCF of 43536 and 43556?

We will first find the prime factorization of 43536 and 43556. After we will calculate the factors of 43536 and 43556 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 43556

Prime factors of 43556 are 2, 10889. Prime factorization of 43556 in exponential form is:

43556 = 2² × 10889¹

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 43556

List of positive integer factors of 43556 that divides 43536 without a remainder.

1, 2, 4, 10889, 21778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43536 and 43556. The biggest common factor number is the GCF number.
So the greatest common factor 43536 and 43556 is 4.

Also check out the Least Common Multiple of 43536 and 43556