What is the Greatest Common Factor of 21906 and 21914?

Greatest common factor (GCF) of 21906 and 21914 is 2.

GCF(21906,21914) = 2

We will now calculate the prime factors of 21906 and 21914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21906 and 21914.

How to find the GCF of 21906 and 21914?

We will first find the prime factorization of 21906 and 21914. After we will calculate the factors of 21906 and 21914 and find the biggest common factor number .

Step-1: Prime Factorization of 21906

Prime factors of 21906 are 2, 3, 1217. Prime factorization of 21906 in exponential form is:

21906 = 2¹ × 3² × 1217¹

Step-2: Prime Factorization of 21914

Prime factors of 21914 are 2, 10957. Prime factorization of 21914 in exponential form is:

21914 = 2¹ × 10957¹

Step-3: Factors of 21906

List of positive integer factors of 21906 that divides 21906 without a remainder.

1, 2, 3, 6, 9, 18, 1217, 2434, 3651, 7302, 10953

Step-4: Factors of 21914

List of positive integer factors of 21914 that divides 21906 without a remainder.

1, 2, 10957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21906 and 21914. The biggest common factor number is the GCF number.
So the greatest common factor 21906 and 21914 is 2.

Also check out the Least Common Multiple of 21906 and 21914