What is the Greatest Common Factor of 43693 and 43706?

Greatest common factor (GCF) of 43693 and 43706 is 13.

GCF(43693,43706) = 13

We will now calculate the prime factors of 43693 and 43706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43693 and 43706.

How to find the GCF of 43693 and 43706?

We will first find the prime factorization of 43693 and 43706. After we will calculate the factors of 43693 and 43706 and find the biggest common factor number .

Step-1: Prime Factorization of 43693

Prime factors of 43693 are 13, 3361. Prime factorization of 43693 in exponential form is:

43693 = 13¹ × 3361¹

Step-2: Prime Factorization of 43706

Prime factors of 43706 are 2, 13, 41. Prime factorization of 43706 in exponential form is:

43706 = 2¹ × 13¹ × 41²

Step-3: Factors of 43693

List of positive integer factors of 43693 that divides 43693 without a remainder.

1, 13, 3361

Step-4: Factors of 43706

List of positive integer factors of 43706 that divides 43693 without a remainder.

1, 2, 13, 26, 41, 82, 533, 1066, 1681, 3362, 21853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43693 and 43706. The biggest common factor number is the GCF number.
So the greatest common factor 43693 and 43706 is 13.

Also check out the Least Common Multiple of 43693 and 43706