What is the Greatest Common Factor of 43380 and 43392?

Greatest common factor (GCF) of 43380 and 43392 is 12.

GCF(43380,43392) = 12

We will now calculate the prime factors of 43380 and 43392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43380 and 43392.

How to find the GCF of 43380 and 43392?

We will first find the prime factorization of 43380 and 43392. After we will calculate the factors of 43380 and 43392 and find the biggest common factor number .

Step-1: Prime Factorization of 43380

Prime factors of 43380 are 2, 3, 5, 241. Prime factorization of 43380 in exponential form is:

43380 = 2² × 3² × 5¹ × 241¹

Step-2: 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-3: Factors of 43380

List of positive integer factors of 43380 that divides 43380 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 241, 482, 723, 964, 1205, 1446, 2169, 2410, 2892, 3615, 4338, 4820, 7230, 8676, 10845, 14460, 21690

Step-4: Factors of 43392

List of positive integer factors of 43392 that divides 43380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43380 and 43392. The biggest common factor number is the GCF number.
So the greatest common factor 43380 and 43392 is 12.

Also check out the Least Common Multiple of 43380 and 43392