What is the Greatest Common Factor of 43056 and 43072?

Greatest common factor (GCF) of 43056 and 43072 is 16.

GCF(43056,43072) = 16

We will now calculate the prime factors of 43056 and 43072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43056 and 43072.

How to find the GCF of 43056 and 43072?

We will first find the prime factorization of 43056 and 43072. After we will calculate the factors of 43056 and 43072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43072

Prime factors of 43072 are 2, 673. Prime factorization of 43072 in exponential form is:

43072 = 2⁶ × 673¹

Step-3: Factors of 43056

List of positive integer factors of 43056 that divides 43056 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

Step-4: Factors of 43072

List of positive integer factors of 43072 that divides 43056 without a remainder.

1, 2, 4, 8, 16, 32, 64, 673, 1346, 2692, 5384, 10768, 21536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43056 and 43072. The biggest common factor number is the GCF number.
So the greatest common factor 43056 and 43072 is 16.

Also check out the Least Common Multiple of 43056 and 43072