What is the Greatest Common Factor of 43040 and 43049?

Greatest common factor (GCF) of 43040 and 43049 is 1.

GCF(43040,43049) = 1

We will now calculate the prime factors of 43040 and 43049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43040 and 43049.

How to find the GCF of 43040 and 43049?

We will first find the prime factorization of 43040 and 43049. After we will calculate the factors of 43040 and 43049 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 43049

Prime factors of 43049 are 43049. Prime factorization of 43049 in exponential form is:

43049 = 43049¹

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 43049

List of positive integer factors of 43049 that divides 43040 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43040 and 43049. The biggest common factor number is the GCF number.
So the greatest common factor 43040 and 43049 is 1.

Also check out the Least Common Multiple of 43040 and 43049