What is the Greatest Common Factor of 43914 and 43924?

Greatest common factor (GCF) of 43914 and 43924 is 2.

GCF(43914,43924) = 2

We will now calculate the prime factors of 43914 and 43924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43914 and 43924.

How to find the GCF of 43914 and 43924?

We will first find the prime factorization of 43914 and 43924. After we will calculate the factors of 43914 and 43924 and find the biggest common factor number .

Step-1: Prime Factorization of 43914

Prime factors of 43914 are 2, 3, 13, 563. Prime factorization of 43914 in exponential form is:

43914 = 2¹ × 3¹ × 13¹ × 563¹

Step-2: Prime Factorization of 43924

Prime factors of 43924 are 2, 79, 139. Prime factorization of 43924 in exponential form is:

43924 = 2² × 79¹ × 139¹

Step-3: Factors of 43914

List of positive integer factors of 43914 that divides 43914 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 563, 1126, 1689, 3378, 7319, 14638, 21957

Step-4: Factors of 43924

List of positive integer factors of 43924 that divides 43914 without a remainder.

1, 2, 4, 79, 139, 158, 278, 316, 556, 10981, 21962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43914 and 43924. The biggest common factor number is the GCF number.
So the greatest common factor 43914 and 43924 is 2.

Also check out the Least Common Multiple of 43914 and 43924