What is the Greatest Common Factor of 43688 and 43693?

Greatest common factor (GCF) of 43688 and 43693 is 1.

GCF(43688,43693) = 1

We will now calculate the prime factors of 43688 and 43693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43688 and 43693.

How to find the GCF of 43688 and 43693?

We will first find the prime factorization of 43688 and 43693. After we will calculate the factors of 43688 and 43693 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 43693

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

43693 = 13¹ × 3361¹

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 43693

List of positive integer factors of 43693 that divides 43688 without a remainder.

1, 13, 3361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43688 and 43693. The biggest common factor number is the GCF number.
So the greatest common factor 43688 and 43693 is 1.

Also check out the Least Common Multiple of 43688 and 43693