What is the Greatest Common Factor of 43075 and 43092?

Greatest common factor (GCF) of 43075 and 43092 is 1.

GCF(43075,43092) = 1

We will now calculate the prime factors of 43075 and 43092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43075 and 43092.

How to find the GCF of 43075 and 43092?

We will first find the prime factorization of 43075 and 43092. After we will calculate the factors of 43075 and 43092 and find the biggest common factor number .

Step-1: Prime Factorization of 43075

Prime factors of 43075 are 5, 1723. Prime factorization of 43075 in exponential form is:

43075 = 5² × 1723¹

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 43075

List of positive integer factors of 43075 that divides 43075 without a remainder.

1, 5, 25, 1723, 8615

Step-4: Factors of 43092

List of positive integer factors of 43092 that divides 43075 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 43075 and 43092. The biggest common factor number is the GCF number.
So the greatest common factor 43075 and 43092 is 1.

Also check out the Least Common Multiple of 43075 and 43092