What is the Greatest Common Factor of 43506 and 43523?

Greatest common factor (GCF) of 43506 and 43523 is 1.

GCF(43506,43523) = 1

We will now calculate the prime factors of 43506 and 43523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43506 and 43523.

How to find the GCF of 43506 and 43523?

We will first find the prime factorization of 43506 and 43523. After we will calculate the factors of 43506 and 43523 and find the biggest common factor number .

Step-1: Prime Factorization of 43506

Prime factors of 43506 are 2, 3, 2417. Prime factorization of 43506 in exponential form is:

43506 = 2¹ × 3² × 2417¹

Step-2: Prime Factorization of 43523

Prime factors of 43523 are 71, 613. Prime factorization of 43523 in exponential form is:

43523 = 71¹ × 613¹

Step-3: Factors of 43506

List of positive integer factors of 43506 that divides 43506 without a remainder.

1, 2, 3, 6, 9, 18, 2417, 4834, 7251, 14502, 21753

Step-4: Factors of 43523

List of positive integer factors of 43523 that divides 43506 without a remainder.

1, 71, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43506 and 43523. The biggest common factor number is the GCF number.
So the greatest common factor 43506 and 43523 is 1.

Also check out the Least Common Multiple of 43506 and 43523