What is the Greatest Common Factor of 43914 and 43927?

Greatest common factor (GCF) of 43914 and 43927 is 13.

GCF(43914,43927) = 13

We will now calculate the prime factors of 43914 and 43927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43914 and 43927.

How to find the GCF of 43914 and 43927?

We will first find the prime factorization of 43914 and 43927. After we will calculate the factors of 43914 and 43927 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 43927

Prime factors of 43927 are 13, 31, 109. Prime factorization of 43927 in exponential form is:

43927 = 13¹ × 31¹ × 109¹

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 43927

List of positive integer factors of 43927 that divides 43914 without a remainder.

1, 13, 31, 109, 403, 1417, 3379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43914 and 43927. The biggest common factor number is the GCF number.
So the greatest common factor 43914 and 43927 is 13.

Also check out the Least Common Multiple of 43914 and 43927