What is the Greatest Common Factor of 24843 and 24853?

Greatest common factor (GCF) of 24843 and 24853 is 1.

GCF(24843,24853) = 1

We will now calculate the prime factors of 24843 and 24853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24843 and 24853.

How to find the GCF of 24843 and 24853?

We will first find the prime factorization of 24843 and 24853. After we will calculate the factors of 24843 and 24853 and find the biggest common factor number .

Step-1: Prime Factorization of 24843

Prime factors of 24843 are 3, 7, 13. Prime factorization of 24843 in exponential form is:

24843 = 3¹ × 7² × 13²

Step-2: Prime Factorization of 24853

Prime factors of 24853 are 29, 857. Prime factorization of 24853 in exponential form is:

24853 = 29¹ × 857¹

Step-3: Factors of 24843

List of positive integer factors of 24843 that divides 24843 without a remainder.

1, 3, 7, 13, 21, 39, 49, 91, 147, 169, 273, 507, 637, 1183, 1911, 3549, 8281

Step-4: Factors of 24853

List of positive integer factors of 24853 that divides 24843 without a remainder.

1, 29, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24843 and 24853. The biggest common factor number is the GCF number.
So the greatest common factor 24843 and 24853 is 1.

Also check out the Least Common Multiple of 24843 and 24853