What is the Greatest Common Factor of 43688 and 43706?

Greatest common factor (GCF) of 43688 and 43706 is 2.

GCF(43688,43706) = 2

We will now calculate the prime factors of 43688 and 43706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43688 and 43706.

How to find the GCF of 43688 and 43706?

We will first find the prime factorization of 43688 and 43706. After we will calculate the factors of 43688 and 43706 and find the biggest common factor number .

Step-1: Prime Factorization of 43688

Prime factors of 43688 are 2, 43, 127. Prime factorization of 43688 in exponential form is:

43688 = 2³ × 43¹ × 127¹

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 43688

List of positive integer factors of 43688 that divides 43688 without a remainder.

1, 2, 4, 8, 43, 86, 127, 172, 254, 344, 508, 1016, 5461, 10922, 21844

Step-4: Factors of 43706

List of positive integer factors of 43706 that divides 43688 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 43688 and 43706. The biggest common factor number is the GCF number.
So the greatest common factor 43688 and 43706 is 2.

Also check out the Least Common Multiple of 43688 and 43706