What is the Greatest Common Factor of 43499 and 43512?

Greatest common factor (GCF) of 43499 and 43512 is 1.

GCF(43499,43512) = 1

We will now calculate the prime factors of 43499 and 43512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43499 and 43512.

How to find the GCF of 43499 and 43512?

We will first find the prime factorization of 43499 and 43512. After we will calculate the factors of 43499 and 43512 and find the biggest common factor number .

Step-1: Prime Factorization of 43499

Prime factors of 43499 are 43499. Prime factorization of 43499 in exponential form is:

43499 = 43499¹

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 43499

List of positive integer factors of 43499 that divides 43499 without a remainder.

Step-4: Factors of 43512

List of positive integer factors of 43512 that divides 43499 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 43499 and 43512. The biggest common factor number is the GCF number.
So the greatest common factor 43499 and 43512 is 1.

Also check out the Least Common Multiple of 43499 and 43512