What is the Greatest Common Factor of 43092 and 43112?

Greatest common factor (GCF) of 43092 and 43112 is 4.

GCF(43092,43112) = 4

We will now calculate the prime factors of 43092 and 43112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43092 and 43112.

How to find the GCF of 43092 and 43112?

We will first find the prime factorization of 43092 and 43112. After we will calculate the factors of 43092 and 43112 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 43112

Prime factors of 43112 are 2, 17, 317. Prime factorization of 43112 in exponential form is:

43112 = 2³ × 17¹ × 317¹

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 43112

List of positive integer factors of 43112 that divides 43092 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 317, 634, 1268, 2536, 5389, 10778, 21556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43092 and 43112. The biggest common factor number is the GCF number.
So the greatest common factor 43092 and 43112 is 4.

Also check out the Least Common Multiple of 43092 and 43112