What is the Greatest Common Factor of 43688 and 43694?

Greatest common factor (GCF) of 43688 and 43694 is 2.

GCF(43688,43694) = 2

We will now calculate the prime factors of 43688 and 43694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43688 and 43694.

How to find the GCF of 43688 and 43694?

We will first find the prime factorization of 43688 and 43694. After we will calculate the factors of 43688 and 43694 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 43694

Prime factors of 43694 are 2, 7, 3121. Prime factorization of 43694 in exponential form is:

43694 = 2¹ × 7¹ × 3121¹

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 43694

List of positive integer factors of 43694 that divides 43688 without a remainder.

1, 2, 7, 14, 3121, 6242, 21847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43688 and 43694. The biggest common factor number is the GCF number.
So the greatest common factor 43688 and 43694 is 2.

Also check out the Least Common Multiple of 43688 and 43694