What is the Greatest Common Factor of 43077 and 43092?

Greatest common factor (GCF) of 43077 and 43092 is 3.

GCF(43077,43092) = 3

We will now calculate the prime factors of 43077 and 43092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43077 and 43092.

How to find the GCF of 43077 and 43092?

We will first find the prime factorization of 43077 and 43092. After we will calculate the factors of 43077 and 43092 and find the biggest common factor number .

Step-1: Prime Factorization of 43077

Prime factors of 43077 are 3, 83, 173. Prime factorization of 43077 in exponential form is:

43077 = 3¹ × 83¹ × 173¹

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 43077

List of positive integer factors of 43077 that divides 43077 without a remainder.

1, 3, 83, 173, 249, 519, 14359

Step-4: Factors of 43092

List of positive integer factors of 43092 that divides 43077 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 43077 and 43092. The biggest common factor number is the GCF number.
So the greatest common factor 43077 and 43092 is 3.

Also check out the Least Common Multiple of 43077 and 43092