What is the Greatest Common Factor of 24909 and 24921?

Greatest common factor (GCF) of 24909 and 24921 is 3.

GCF(24909,24921) = 3

We will now calculate the prime factors of 24909 and 24921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24909 and 24921.

How to find the GCF of 24909 and 24921?

We will first find the prime factorization of 24909 and 24921. After we will calculate the factors of 24909 and 24921 and find the biggest common factor number .

Step-1: Prime Factorization of 24909

Prime factors of 24909 are 3, 19, 23. Prime factorization of 24909 in exponential form is:

24909 = 3¹ × 19² × 23¹

Step-2: Prime Factorization of 24921

Prime factors of 24921 are 3, 13, 71. Prime factorization of 24921 in exponential form is:

24921 = 3³ × 13¹ × 71¹

Step-3: Factors of 24909

List of positive integer factors of 24909 that divides 24909 without a remainder.

1, 3, 19, 23, 57, 69, 361, 437, 1083, 1311, 8303

Step-4: Factors of 24921

List of positive integer factors of 24921 that divides 24909 without a remainder.

1, 3, 9, 13, 27, 39, 71, 117, 213, 351, 639, 923, 1917, 2769, 8307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24909 and 24921. The biggest common factor number is the GCF number.
So the greatest common factor 24909 and 24921 is 3.

Also check out the Least Common Multiple of 24909 and 24921