What is the Greatest Common Factor of 43690 and 43705?

Greatest common factor (GCF) of 43690 and 43705 is 5.

GCF(43690,43705) = 5

We will now calculate the prime factors of 43690 and 43705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43690 and 43705.

How to find the GCF of 43690 and 43705?

We will first find the prime factorization of 43690 and 43705. After we will calculate the factors of 43690 and 43705 and find the biggest common factor number .

Step-1: Prime Factorization of 43690

Prime factors of 43690 are 2, 5, 17, 257. Prime factorization of 43690 in exponential form is:

43690 = 2¹ × 5¹ × 17¹ × 257¹

Step-2: Prime Factorization of 43705

Prime factors of 43705 are 5, 8741. Prime factorization of 43705 in exponential form is:

43705 = 5¹ × 8741¹

Step-3: Factors of 43690

List of positive integer factors of 43690 that divides 43690 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 257, 514, 1285, 2570, 4369, 8738, 21845

Step-4: Factors of 43705

List of positive integer factors of 43705 that divides 43690 without a remainder.

1, 5, 8741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43690 and 43705. The biggest common factor number is the GCF number.
So the greatest common factor 43690 and 43705 is 5.

Also check out the Least Common Multiple of 43690 and 43705