What is the Greatest Common Factor of 43937 and 43950?

Greatest common factor (GCF) of 43937 and 43950 is 1.

GCF(43937,43950) = 1

We will now calculate the prime factors of 43937 and 43950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43937 and 43950.

How to find the GCF of 43937 and 43950?

We will first find the prime factorization of 43937 and 43950. After we will calculate the factors of 43937 and 43950 and find the biggest common factor number .

Step-1: Prime Factorization of 43937

Prime factors of 43937 are 53, 829. Prime factorization of 43937 in exponential form is:

43937 = 53¹ × 829¹

Step-2: Prime Factorization of 43950

Prime factors of 43950 are 2, 3, 5, 293. Prime factorization of 43950 in exponential form is:

43950 = 2¹ × 3¹ × 5² × 293¹

Step-3: Factors of 43937

List of positive integer factors of 43937 that divides 43937 without a remainder.

1, 53, 829

Step-4: Factors of 43950

List of positive integer factors of 43950 that divides 43937 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 293, 586, 879, 1465, 1758, 2930, 4395, 7325, 8790, 14650, 21975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43937 and 43950. The biggest common factor number is the GCF number.
So the greatest common factor 43937 and 43950 is 1.

Also check out the Least Common Multiple of 43937 and 43950