What is the Greatest Common Factor of 43673 and 43687?

Greatest common factor (GCF) of 43673 and 43687 is 7.

GCF(43673,43687) = 7

We will now calculate the prime factors of 43673 and 43687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43673 and 43687.

How to find the GCF of 43673 and 43687?

We will first find the prime factorization of 43673 and 43687. After we will calculate the factors of 43673 and 43687 and find the biggest common factor number .

Step-1: Prime Factorization of 43673

Prime factors of 43673 are 7, 17, 367. Prime factorization of 43673 in exponential form is:

43673 = 7¹ × 17¹ × 367¹

Step-2: Prime Factorization of 43687

Prime factors of 43687 are 7, 79. Prime factorization of 43687 in exponential form is:

43687 = 7¹ × 79²

Step-3: Factors of 43673

List of positive integer factors of 43673 that divides 43673 without a remainder.

1, 7, 17, 119, 367, 2569, 6239

Step-4: Factors of 43687

List of positive integer factors of 43687 that divides 43673 without a remainder.

1, 7, 79, 553, 6241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43673 and 43687. The biggest common factor number is the GCF number.
So the greatest common factor 43673 and 43687 is 7.

Also check out the Least Common Multiple of 43673 and 43687