What is the Greatest Common Factor of 21917 and 21926?

Greatest common factor (GCF) of 21917 and 21926 is 1.

GCF(21917,21926) = 1

We will now calculate the prime factors of 21917 and 21926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21917 and 21926.

How to find the GCF of 21917 and 21926?

We will first find the prime factorization of 21917 and 21926. After we will calculate the factors of 21917 and 21926 and find the biggest common factor number .

Step-1: Prime Factorization of 21917

Prime factors of 21917 are 7, 31, 101. Prime factorization of 21917 in exponential form is:

21917 = 7¹ × 31¹ × 101¹

Step-2: Prime Factorization of 21926

Prime factors of 21926 are 2, 19, 577. Prime factorization of 21926 in exponential form is:

21926 = 2¹ × 19¹ × 577¹

Step-3: Factors of 21917

List of positive integer factors of 21917 that divides 21917 without a remainder.

1, 7, 31, 101, 217, 707, 3131

Step-4: Factors of 21926

List of positive integer factors of 21926 that divides 21917 without a remainder.

1, 2, 19, 38, 577, 1154, 10963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21917 and 21926. The biggest common factor number is the GCF number.
So the greatest common factor 21917 and 21926 is 1.

Also check out the Least Common Multiple of 21917 and 21926