What is the Greatest Common Factor of 21917 and 21923?

Greatest common factor (GCF) of 21917 and 21923 is 1.

GCF(21917,21923) = 1

We will now calculate the prime factors of 21917 and 21923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21917 and 21923.

How to find the GCF of 21917 and 21923?

We will first find the prime factorization of 21917 and 21923. After we will calculate the factors of 21917 and 21923 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 21923

Prime factors of 21923 are 11, 1993. Prime factorization of 21923 in exponential form is:

21923 = 11¹ × 1993¹

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 21923

List of positive integer factors of 21923 that divides 21917 without a remainder.

1, 11, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21917 and 21923. The biggest common factor number is the GCF number.
So the greatest common factor 21917 and 21923 is 1.

Also check out the Least Common Multiple of 21917 and 21923