What is the Greatest Common Factor of 43700 and 43717?

Greatest common factor (GCF) of 43700 and 43717 is 1.

GCF(43700,43717) = 1

We will now calculate the prime factors of 43700 and 43717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43700 and 43717.

How to find the GCF of 43700 and 43717?

We will first find the prime factorization of 43700 and 43717. After we will calculate the factors of 43700 and 43717 and find the biggest common factor number .

Step-1: Prime Factorization of 43700

Prime factors of 43700 are 2, 5, 19, 23. Prime factorization of 43700 in exponential form is:

43700 = 2² × 5² × 19¹ × 23¹

Step-2: Prime Factorization of 43717

Prime factors of 43717 are 43717. Prime factorization of 43717 in exponential form is:

43717 = 43717¹

Step-3: Factors of 43700

List of positive integer factors of 43700 that divides 43700 without a remainder.

1, 2, 4, 5, 10, 19, 20, 23, 25, 38, 46, 50, 76, 92, 95, 100, 115, 190, 230, 380, 437, 460, 475, 575, 874, 950, 1150, 1748, 1900, 2185, 2300, 4370, 8740, 10925, 21850

Step-4: Factors of 43717

List of positive integer factors of 43717 that divides 43700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43700 and 43717. The biggest common factor number is the GCF number.
So the greatest common factor 43700 and 43717 is 1.

Also check out the Least Common Multiple of 43700 and 43717