What is the Greatest Common Factor of 43690 and 43700?

Greatest common factor (GCF) of 43690 and 43700 is 10.

GCF(43690,43700) = 10

We will now calculate the prime factors of 43690 and 43700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43690 and 43700.

How to find the GCF of 43690 and 43700?

We will first find the prime factorization of 43690 and 43700. After we will calculate the factors of 43690 and 43700 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 43700

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

43700 = 2² × 5² × 19¹ × 23¹

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 43700

List of positive integer factors of 43700 that divides 43690 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43690 and 43700. The biggest common factor number is the GCF number.
So the greatest common factor 43690 and 43700 is 10.

Also check out the Least Common Multiple of 43690 and 43700