What is the Greatest Common Factor of 43880 and 43898?

Greatest common factor (GCF) of 43880 and 43898 is 2.

GCF(43880,43898) = 2

We will now calculate the prime factors of 43880 and 43898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43880 and 43898.

How to find the GCF of 43880 and 43898?

We will first find the prime factorization of 43880 and 43898. After we will calculate the factors of 43880 and 43898 and find the biggest common factor number .

Step-1: Prime Factorization of 43880

Prime factors of 43880 are 2, 5, 1097. Prime factorization of 43880 in exponential form is:

43880 = 2³ × 5¹ × 1097¹

Step-2: 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-3: Factors of 43880

List of positive integer factors of 43880 that divides 43880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1097, 2194, 4388, 5485, 8776, 10970, 21940

Step-4: Factors of 43898

List of positive integer factors of 43898 that divides 43880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43880 and 43898. The biggest common factor number is the GCF number.
So the greatest common factor 43880 and 43898 is 2.

Also check out the Least Common Multiple of 43880 and 43898