What is the Greatest Common Factor of 21924 and 21943?

Greatest common factor (GCF) of 21924 and 21943 is 1.

GCF(21924,21943) = 1

We will now calculate the prime factors of 21924 and 21943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21924 and 21943.

How to find the GCF of 21924 and 21943?

We will first find the prime factorization of 21924 and 21943. After we will calculate the factors of 21924 and 21943 and find the biggest common factor number .

Step-1: Prime Factorization of 21924

Prime factors of 21924 are 2, 3, 7, 29. Prime factorization of 21924 in exponential form is:

21924 = 2² × 3³ × 7¹ × 29¹

Step-2: Prime Factorization of 21943

Prime factors of 21943 are 21943. Prime factorization of 21943 in exponential form is:

21943 = 21943¹

Step-3: Factors of 21924

List of positive integer factors of 21924 that divides 21924 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 29, 36, 42, 54, 58, 63, 84, 87, 108, 116, 126, 174, 189, 203, 252, 261, 348, 378, 406, 522, 609, 756, 783, 812, 1044, 1218, 1566, 1827, 2436, 3132, 3654, 5481, 7308, 10962

Step-4: Factors of 21943

List of positive integer factors of 21943 that divides 21924 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21924 and 21943. The biggest common factor number is the GCF number.
So the greatest common factor 21924 and 21943 is 1.

Also check out the Least Common Multiple of 21924 and 21943