What is the Greatest Common Factor of 43408 and 43418?

Greatest common factor (GCF) of 43408 and 43418 is 2.

GCF(43408,43418) = 2

We will now calculate the prime factors of 43408 and 43418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43408 and 43418.

How to find the GCF of 43408 and 43418?

We will first find the prime factorization of 43408 and 43418. After we will calculate the factors of 43408 and 43418 and find the biggest common factor number .

Step-1: Prime Factorization of 43408

Prime factors of 43408 are 2, 2713. Prime factorization of 43408 in exponential form is:

43408 = 2⁴ × 2713¹

Step-2: Prime Factorization of 43418

Prime factors of 43418 are 2, 17, 1277. Prime factorization of 43418 in exponential form is:

43418 = 2¹ × 17¹ × 1277¹

Step-3: Factors of 43408

List of positive integer factors of 43408 that divides 43408 without a remainder.

1, 2, 4, 8, 16, 2713, 5426, 10852, 21704

Step-4: Factors of 43418

List of positive integer factors of 43418 that divides 43408 without a remainder.

1, 2, 17, 34, 1277, 2554, 21709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43408 and 43418. The biggest common factor number is the GCF number.
So the greatest common factor 43408 and 43418 is 2.

Also check out the Least Common Multiple of 43408 and 43418