What is the Greatest Common Factor of 43809 and 43817?

Greatest common factor (GCF) of 43809 and 43817 is 1.

GCF(43809,43817) = 1

We will now calculate the prime factors of 43809 and 43817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43809 and 43817.

How to find the GCF of 43809 and 43817?

We will first find the prime factorization of 43809 and 43817. After we will calculate the factors of 43809 and 43817 and find the biggest common factor number .

Step-1: Prime Factorization of 43809

Prime factors of 43809 are 3, 17, 859. Prime factorization of 43809 in exponential form is:

43809 = 3¹ × 17¹ × 859¹

Step-2: Prime Factorization of 43817

Prime factors of 43817 are 43, 1019. Prime factorization of 43817 in exponential form is:

43817 = 43¹ × 1019¹

Step-3: Factors of 43809

List of positive integer factors of 43809 that divides 43809 without a remainder.

1, 3, 17, 51, 859, 2577, 14603

Step-4: Factors of 43817

List of positive integer factors of 43817 that divides 43809 without a remainder.

1, 43, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43809 and 43817. The biggest common factor number is the GCF number.
So the greatest common factor 43809 and 43817 is 1.

Also check out the Least Common Multiple of 43809 and 43817