What is the Greatest Common Factor of 43700 and 43715?

Greatest common factor (GCF) of 43700 and 43715 is 5.

GCF(43700,43715) = 5

We will now calculate the prime factors of 43700 and 43715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43700 and 43715.

How to find the GCF of 43700 and 43715?

We will first find the prime factorization of 43700 and 43715. After we will calculate the factors of 43700 and 43715 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 43715

Prime factors of 43715 are 5, 7, 1249. Prime factorization of 43715 in exponential form is:

43715 = 5¹ × 7¹ × 1249¹

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 43715

List of positive integer factors of 43715 that divides 43700 without a remainder.

1, 5, 7, 35, 1249, 6245, 8743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43700 and 43715. The biggest common factor number is the GCF number.
So the greatest common factor 43700 and 43715 is 5.

Also check out the Least Common Multiple of 43700 and 43715