What is the Greatest Common Factor of 43898 and 43918?

Greatest common factor (GCF) of 43898 and 43918 is 2.

GCF(43898,43918) = 2

We will now calculate the prime factors of 43898 and 43918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43898 and 43918.

How to find the GCF of 43898 and 43918?

We will first find the prime factorization of 43898 and 43918. After we will calculate the factors of 43898 and 43918 and find the biggest common factor number .

Step-1: Prime Factorization of 43898

Prime factors of 43898 are 2, 47, 467. Prime factorization of 43898 in exponential form is:

43898 = 2¹ × 47¹ × 467¹

Step-2: Prime Factorization of 43918

Prime factors of 43918 are 2, 7, 3137. Prime factorization of 43918 in exponential form is:

43918 = 2¹ × 7¹ × 3137¹

Step-3: Factors of 43898

List of positive integer factors of 43898 that divides 43898 without a remainder.

1, 2, 47, 94, 467, 934, 21949

Step-4: Factors of 43918

List of positive integer factors of 43918 that divides 43898 without a remainder.

1, 2, 7, 14, 3137, 6274, 21959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43898 and 43918. The biggest common factor number is the GCF number.
So the greatest common factor 43898 and 43918 is 2.

Also check out the Least Common Multiple of 43898 and 43918