What is the Greatest Common Factor of 43083 and 43092?

Greatest common factor (GCF) of 43083 and 43092 is 9.

GCF(43083,43092) = 9

We will now calculate the prime factors of 43083 and 43092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43083 and 43092.

How to find the GCF of 43083 and 43092?

We will first find the prime factorization of 43083 and 43092. After we will calculate the factors of 43083 and 43092 and find the biggest common factor number .

Step-1: Prime Factorization of 43083

Prime factors of 43083 are 3, 4787. Prime factorization of 43083 in exponential form is:

43083 = 3² × 4787¹

Step-2: 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-3: Factors of 43083

List of positive integer factors of 43083 that divides 43083 without a remainder.

1, 3, 9, 4787, 14361

Step-4: Factors of 43092

List of positive integer factors of 43092 that divides 43083 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43083 and 43092. The biggest common factor number is the GCF number.
So the greatest common factor 43083 and 43092 is 9.

Also check out the Least Common Multiple of 43083 and 43092