What is the Greatest Common Factor of 21924 and 21931?

Greatest common factor (GCF) of 21924 and 21931 is 7.

GCF(21924,21931) = 7

We will now calculate the prime factors of 21924 and 21931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21924 and 21931.

How to find the GCF of 21924 and 21931?

We will first find the prime factorization of 21924 and 21931. After we will calculate the factors of 21924 and 21931 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 21931

Prime factors of 21931 are 7, 13, 241. Prime factorization of 21931 in exponential form is:

21931 = 7¹ × 13¹ × 241¹

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 21931

List of positive integer factors of 21931 that divides 21924 without a remainder.

1, 7, 13, 91, 241, 1687, 3133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21924 and 21931. The biggest common factor number is the GCF number.
So the greatest common factor 21924 and 21931 is 7.

Also check out the Least Common Multiple of 21924 and 21931