What is the Greatest Common Factor of 43392 and 43406?

Greatest common factor (GCF) of 43392 and 43406 is 2.

GCF(43392,43406) = 2

We will now calculate the prime factors of 43392 and 43406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43392 and 43406.

How to find the GCF of 43392 and 43406?

We will first find the prime factorization of 43392 and 43406. After we will calculate the factors of 43392 and 43406 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 43406

Prime factors of 43406 are 2, 11, 1973. Prime factorization of 43406 in exponential form is:

43406 = 2¹ × 11¹ × 1973¹

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 43406

List of positive integer factors of 43406 that divides 43392 without a remainder.

1, 2, 11, 22, 1973, 3946, 21703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43392 and 43406. The biggest common factor number is the GCF number.
So the greatest common factor 43392 and 43406 is 2.

Also check out the Least Common Multiple of 43392 and 43406