What is the Greatest Common Factor of 43717 and 43734?

Greatest common factor (GCF) of 43717 and 43734 is 1.

GCF(43717,43734) = 1

We will now calculate the prime factors of 43717 and 43734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43717 and 43734.

How to find the GCF of 43717 and 43734?

We will first find the prime factorization of 43717 and 43734. After we will calculate the factors of 43717 and 43734 and find the biggest common factor number .

Step-1: Prime Factorization of 43717

Prime factors of 43717 are 43717. Prime factorization of 43717 in exponential form is:

43717 = 43717¹

Step-2: Prime Factorization of 43734

Prime factors of 43734 are 2, 3, 37, 197. Prime factorization of 43734 in exponential form is:

43734 = 2¹ × 3¹ × 37¹ × 197¹

Step-3: Factors of 43717

List of positive integer factors of 43717 that divides 43717 without a remainder.

Step-4: Factors of 43734

List of positive integer factors of 43734 that divides 43717 without a remainder.

1, 2, 3, 6, 37, 74, 111, 197, 222, 394, 591, 1182, 7289, 14578, 21867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43717 and 43734. The biggest common factor number is the GCF number.
So the greatest common factor 43717 and 43734 is 1.

Also check out the Least Common Multiple of 43717 and 43734