What is the Greatest Common Factor of 43700 and 43712?

Greatest common factor (GCF) of 43700 and 43712 is 4.

GCF(43700,43712) = 4

We will now calculate the prime factors of 43700 and 43712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43700 and 43712.

How to find the GCF of 43700 and 43712?

We will first find the prime factorization of 43700 and 43712. After we will calculate the factors of 43700 and 43712 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 43712

Prime factors of 43712 are 2, 683. Prime factorization of 43712 in exponential form is:

43712 = 2⁶ × 683¹

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 43712

List of positive integer factors of 43712 that divides 43700 without a remainder.

1, 2, 4, 8, 16, 32, 64, 683, 1366, 2732, 5464, 10928, 21856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43700 and 43712. The biggest common factor number is the GCF number.
So the greatest common factor 43700 and 43712 is 4.

Also check out the Least Common Multiple of 43700 and 43712