What is the Greatest Common Factor of 43392 and 43408?

Greatest common factor (GCF) of 43392 and 43408 is 16.

GCF(43392,43408) = 16

We will now calculate the prime factors of 43392 and 43408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43392 and 43408.

How to find the GCF of 43392 and 43408?

We will first find the prime factorization of 43392 and 43408. After we will calculate the factors of 43392 and 43408 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 43408

Prime factors of 43408 are 2, 2713. Prime factorization of 43408 in exponential form is:

43408 = 2⁴ × 2713¹

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 43408

List of positive integer factors of 43408 that divides 43392 without a remainder.

1, 2, 4, 8, 16, 2713, 5426, 10852, 21704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43392 and 43408. The biggest common factor number is the GCF number.
So the greatest common factor 43392 and 43408 is 16.

Also check out the Least Common Multiple of 43392 and 43408