What is the Greatest Common Factor of 43906 and 43922?

Greatest common factor (GCF) of 43906 and 43922 is 2.

GCF(43906,43922) = 2

We will now calculate the prime factors of 43906 and 43922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43906 and 43922.

How to find the GCF of 43906 and 43922?

We will first find the prime factorization of 43906 and 43922. After we will calculate the factors of 43906 and 43922 and find the biggest common factor number .

Step-1: Prime Factorization of 43906

Prime factors of 43906 are 2, 29, 757. Prime factorization of 43906 in exponential form is:

43906 = 2¹ × 29¹ × 757¹

Step-2: Prime Factorization of 43922

Prime factors of 43922 are 2, 21961. Prime factorization of 43922 in exponential form is:

43922 = 2¹ × 21961¹

Step-3: Factors of 43906

List of positive integer factors of 43906 that divides 43906 without a remainder.

1, 2, 29, 58, 757, 1514, 21953

Step-4: Factors of 43922

List of positive integer factors of 43922 that divides 43906 without a remainder.

1, 2, 21961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43906 and 43922. The biggest common factor number is the GCF number.
So the greatest common factor 43906 and 43922 is 2.

Also check out the Least Common Multiple of 43906 and 43922