What is the Greatest Common Factor of 21905 and 21922?

Greatest common factor (GCF) of 21905 and 21922 is 1.

GCF(21905,21922) = 1

We will now calculate the prime factors of 21905 and 21922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21905 and 21922.

How to find the GCF of 21905 and 21922?

We will first find the prime factorization of 21905 and 21922. After we will calculate the factors of 21905 and 21922 and find the biggest common factor number .

Step-1: Prime Factorization of 21905

Prime factors of 21905 are 5, 13, 337. Prime factorization of 21905 in exponential form is:

21905 = 5¹ × 13¹ × 337¹

Step-2: Prime Factorization of 21922

Prime factors of 21922 are 2, 97, 113. Prime factorization of 21922 in exponential form is:

21922 = 2¹ × 97¹ × 113¹

Step-3: Factors of 21905

List of positive integer factors of 21905 that divides 21905 without a remainder.

1, 5, 13, 65, 337, 1685, 4381

Step-4: Factors of 21922

List of positive integer factors of 21922 that divides 21905 without a remainder.

1, 2, 97, 113, 194, 226, 10961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21905 and 21922. The biggest common factor number is the GCF number.
So the greatest common factor 21905 and 21922 is 1.

Also check out the Least Common Multiple of 21905 and 21922