What is the Greatest Common Factor of 43024 and 43040?

Greatest common factor (GCF) of 43024 and 43040 is 16.

GCF(43024,43040) = 16

We will now calculate the prime factors of 43024 and 43040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43024 and 43040.

How to find the GCF of 43024 and 43040?

We will first find the prime factorization of 43024 and 43040. After we will calculate the factors of 43024 and 43040 and find the biggest common factor number .

Step-1: Prime Factorization of 43024

Prime factors of 43024 are 2, 2689. Prime factorization of 43024 in exponential form is:

43024 = 2⁴ × 2689¹

Step-2: 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-3: Factors of 43024

List of positive integer factors of 43024 that divides 43024 without a remainder.

1, 2, 4, 8, 16, 2689, 5378, 10756, 21512

Step-4: Factors of 43040

List of positive integer factors of 43040 that divides 43024 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43024 and 43040. The biggest common factor number is the GCF number.
So the greatest common factor 43024 and 43040 is 16.

Also check out the Least Common Multiple of 43024 and 43040