What is the Greatest Common Factor of 21922 and 21927?

Greatest common factor (GCF) of 21922 and 21927 is 1.

GCF(21922,21927) = 1

We will now calculate the prime factors of 21922 and 21927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21922 and 21927.

How to find the GCF of 21922 and 21927?

We will first find the prime factorization of 21922 and 21927. After we will calculate the factors of 21922 and 21927 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21927

Prime factors of 21927 are 3, 7309. Prime factorization of 21927 in exponential form is:

21927 = 3¹ × 7309¹

Step-3: Factors of 21922

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

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

Step-4: Factors of 21927

List of positive integer factors of 21927 that divides 21922 without a remainder.

1, 3, 7309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21922 and 21927. The biggest common factor number is the GCF number.
So the greatest common factor 21922 and 21927 is 1.

Also check out the Least Common Multiple of 21922 and 21927