What is the Greatest Common Factor of 43504 and 43512?

Greatest common factor (GCF) of 43504 and 43512 is 8.

GCF(43504,43512) = 8

We will now calculate the prime factors of 43504 and 43512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43504 and 43512.

How to find the GCF of 43504 and 43512?

We will first find the prime factorization of 43504 and 43512. After we will calculate the factors of 43504 and 43512 and find the biggest common factor number .

Step-1: Prime Factorization of 43504

Prime factors of 43504 are 2, 2719. Prime factorization of 43504 in exponential form is:

43504 = 2⁴ × 2719¹

Step-2: Prime Factorization of 43512

Prime factors of 43512 are 2, 3, 7, 37. Prime factorization of 43512 in exponential form is:

43512 = 2³ × 3¹ × 7² × 37¹

Step-3: Factors of 43504

List of positive integer factors of 43504 that divides 43504 without a remainder.

1, 2, 4, 8, 16, 2719, 5438, 10876, 21752

Step-4: Factors of 43512

List of positive integer factors of 43512 that divides 43504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 49, 56, 74, 84, 98, 111, 147, 148, 168, 196, 222, 259, 294, 296, 392, 444, 518, 588, 777, 888, 1036, 1176, 1554, 1813, 2072, 3108, 3626, 5439, 6216, 7252, 10878, 14504, 21756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43504 and 43512. The biggest common factor number is the GCF number.
So the greatest common factor 43504 and 43512 is 8.

Also check out the Least Common Multiple of 43504 and 43512