What is the Greatest Common Factor of 24921 and 24929?

Greatest common factor (GCF) of 24921 and 24929 is 1.

GCF(24921,24929) = 1

We will now calculate the prime factors of 24921 and 24929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24921 and 24929.

How to find the GCF of 24921 and 24929?

We will first find the prime factorization of 24921 and 24929. After we will calculate the factors of 24921 and 24929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24929

Prime factors of 24929 are 97, 257. Prime factorization of 24929 in exponential form is:

24929 = 97¹ × 257¹

Step-3: Factors of 24921

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

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

Step-4: Factors of 24929

List of positive integer factors of 24929 that divides 24921 without a remainder.

1, 97, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24921 and 24929. The biggest common factor number is the GCF number.
So the greatest common factor 24921 and 24929 is 1.

Also check out the Least Common Multiple of 24921 and 24929