What is the Greatest Common Factor of 43040 and 43060?

Greatest common factor (GCF) of 43040 and 43060 is 20.

GCF(43040,43060) = 20

We will now calculate the prime factors of 43040 and 43060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43040 and 43060.

How to find the GCF of 43040 and 43060?

We will first find the prime factorization of 43040 and 43060. After we will calculate the factors of 43040 and 43060 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 43060

Prime factors of 43060 are 2, 5, 2153. Prime factorization of 43060 in exponential form is:

43060 = 2² × 5¹ × 2153¹

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 43060

List of positive integer factors of 43060 that divides 43040 without a remainder.

1, 2, 4, 5, 10, 20, 2153, 4306, 8612, 10765, 21530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43040 and 43060. The biggest common factor number is the GCF number.
So the greatest common factor 43040 and 43060 is 20.

Also check out the Least Common Multiple of 43040 and 43060