What is the Greatest Common Factor of 43418 and 43435?

Greatest common factor (GCF) of 43418 and 43435 is 17.

GCF(43418,43435) = 17

We will now calculate the prime factors of 43418 and 43435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43418 and 43435.

How to find the GCF of 43418 and 43435?

We will first find the prime factorization of 43418 and 43435. After we will calculate the factors of 43418 and 43435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43435

Prime factors of 43435 are 5, 7, 17, 73. Prime factorization of 43435 in exponential form is:

43435 = 5¹ × 7¹ × 17¹ × 73¹

Step-3: Factors of 43418

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

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

Step-4: Factors of 43435

List of positive integer factors of 43435 that divides 43418 without a remainder.

1, 5, 7, 17, 35, 73, 85, 119, 365, 511, 595, 1241, 2555, 6205, 8687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43418 and 43435. The biggest common factor number is the GCF number.
So the greatest common factor 43418 and 43435 is 17.

Also check out the Least Common Multiple of 43418 and 43435