What is the Greatest Common Factor of 43892 and 43898?

Greatest common factor (GCF) of 43892 and 43898 is 2.

GCF(43892,43898) = 2

We will now calculate the prime factors of 43892 and 43898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43892 and 43898.

How to find the GCF of 43892 and 43898?

We will first find the prime factorization of 43892 and 43898. After we will calculate the factors of 43892 and 43898 and find the biggest common factor number .

Step-1: Prime Factorization of 43892

Prime factors of 43892 are 2, 10973. Prime factorization of 43892 in exponential form is:

43892 = 2² × 10973¹

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 43892

List of positive integer factors of 43892 that divides 43892 without a remainder.

1, 2, 4, 10973, 21946

Step-4: Factors of 43898

List of positive integer factors of 43898 that divides 43892 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43892 and 43898. The biggest common factor number is the GCF number.
So the greatest common factor 43892 and 43898 is 2.

Also check out the Least Common Multiple of 43892 and 43898