What is the Greatest Common Factor of 43700 and 43704?

Greatest common factor (GCF) of 43700 and 43704 is 4.

GCF(43700,43704) = 4

We will now calculate the prime factors of 43700 and 43704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43700 and 43704.

How to find the GCF of 43700 and 43704?

We will first find the prime factorization of 43700 and 43704. After we will calculate the factors of 43700 and 43704 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 43704

Prime factors of 43704 are 2, 3, 607. Prime factorization of 43704 in exponential form is:

43704 = 2³ × 3² × 607¹

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 43704

List of positive integer factors of 43704 that divides 43700 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 607, 1214, 1821, 2428, 3642, 4856, 5463, 7284, 10926, 14568, 21852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43700 and 43704. The biggest common factor number is the GCF number.
So the greatest common factor 43700 and 43704 is 4.

Also check out the Least Common Multiple of 43700 and 43704