What is the Greatest Common Factor of 43700 and 43719?

Greatest common factor (GCF) of 43700 and 43719 is 19.

GCF(43700,43719) = 19

We will now calculate the prime factors of 43700 and 43719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43700 and 43719.

How to find the GCF of 43700 and 43719?

We will first find the prime factorization of 43700 and 43719. After we will calculate the factors of 43700 and 43719 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 43719

Prime factors of 43719 are 3, 13, 19, 59. Prime factorization of 43719 in exponential form is:

43719 = 3¹ × 13¹ × 19¹ × 59¹

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 43719

List of positive integer factors of 43719 that divides 43700 without a remainder.

1, 3, 13, 19, 39, 57, 59, 177, 247, 741, 767, 1121, 2301, 3363, 14573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43700 and 43719. The biggest common factor number is the GCF number.
So the greatest common factor 43700 and 43719 is 19.

Also check out the Least Common Multiple of 43700 and 43719