What is the Greatest Common Factor of 43092 and 43108?

Greatest common factor (GCF) of 43092 and 43108 is 4.

GCF(43092,43108) = 4

We will now calculate the prime factors of 43092 and 43108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43092 and 43108.

How to find the GCF of 43092 and 43108?

We will first find the prime factorization of 43092 and 43108. After we will calculate the factors of 43092 and 43108 and find the biggest common factor number .

Step-1: Prime Factorization of 43092

Prime factors of 43092 are 2, 3, 7, 19. Prime factorization of 43092 in exponential form is:

43092 = 2² × 3⁴ × 7¹ × 19¹

Step-2: Prime Factorization of 43108

Prime factors of 43108 are 2, 13, 829. Prime factorization of 43108 in exponential form is:

43108 = 2² × 13¹ × 829¹

Step-3: Factors of 43092

List of positive integer factors of 43092 that divides 43092 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 27, 28, 36, 38, 42, 54, 57, 63, 76, 81, 84, 108, 114, 126, 133, 162, 171, 189, 228, 252, 266, 324, 342, 378, 399, 513, 532, 567, 684, 756, 798, 1026, 1134, 1197, 1539, 1596, 2052, 2268, 2394, 3078, 3591, 4788, 6156, 7182, 10773, 14364, 21546

Step-4: Factors of 43108

List of positive integer factors of 43108 that divides 43092 without a remainder.

1, 2, 4, 13, 26, 52, 829, 1658, 3316, 10777, 21554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43092 and 43108. The biggest common factor number is the GCF number.
So the greatest common factor 43092 and 43108 is 4.

Also check out the Least Common Multiple of 43092 and 43108