What is the Greatest Common Factor of 43040 and 43056?

Greatest common factor (GCF) of 43040 and 43056 is 16.

GCF(43040,43056) = 16

We will now calculate the prime factors of 43040 and 43056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43040 and 43056.

How to find the GCF of 43040 and 43056?

We will first find the prime factorization of 43040 and 43056. After we will calculate the factors of 43040 and 43056 and find the biggest common factor number .

Step-1: Prime Factorization of 43040

Prime factors of 43040 are 2, 5, 269. Prime factorization of 43040 in exponential form is:

43040 = 2⁵ × 5¹ × 269¹

Step-2: Prime Factorization of 43056

Prime factors of 43056 are 2, 3, 13, 23. Prime factorization of 43056 in exponential form is:

43056 = 2⁴ × 3² × 13¹ × 23¹

Step-3: Factors of 43040

List of positive integer factors of 43040 that divides 43040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 269, 538, 1076, 1345, 2152, 2690, 4304, 5380, 8608, 10760, 21520

Step-4: Factors of 43056

List of positive integer factors of 43056 that divides 43040 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 23, 24, 26, 36, 39, 46, 48, 52, 69, 72, 78, 92, 104, 117, 138, 144, 156, 184, 207, 208, 234, 276, 299, 312, 368, 414, 468, 552, 598, 624, 828, 897, 936, 1104, 1196, 1656, 1794, 1872, 2392, 2691, 3312, 3588, 4784, 5382, 7176, 10764, 14352, 21528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43040 and 43056. The biggest common factor number is the GCF number.
So the greatest common factor 43040 and 43056 is 16.

Also check out the Least Common Multiple of 43040 and 43056