What is the Greatest Common Factor of 43392 and 43409?

Greatest common factor (GCF) of 43392 and 43409 is 1.

GCF(43392,43409) = 1

We will now calculate the prime factors of 43392 and 43409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43392 and 43409.

How to find the GCF of 43392 and 43409?

We will first find the prime factorization of 43392 and 43409. After we will calculate the factors of 43392 and 43409 and find the biggest common factor number .

Step-1: Prime Factorization of 43392

Prime factors of 43392 are 2, 3, 113. Prime factorization of 43392 in exponential form is:

43392 = 2⁷ × 3¹ × 113¹

Step-2: Prime Factorization of 43409

Prime factors of 43409 are 83, 523. Prime factorization of 43409 in exponential form is:

43409 = 83¹ × 523¹

Step-3: Factors of 43392

List of positive integer factors of 43392 that divides 43392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 113, 128, 192, 226, 339, 384, 452, 678, 904, 1356, 1808, 2712, 3616, 5424, 7232, 10848, 14464, 21696

Step-4: Factors of 43409

List of positive integer factors of 43409 that divides 43392 without a remainder.

1, 83, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43392 and 43409. The biggest common factor number is the GCF number.
So the greatest common factor 43392 and 43409 is 1.

Also check out the Least Common Multiple of 43392 and 43409