What is the Greatest Common Factor of 24843 and 24857?

Greatest common factor (GCF) of 24843 and 24857 is 7.

GCF(24843,24857) = 7

We will now calculate the prime factors of 24843 and 24857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24843 and 24857.

How to find the GCF of 24843 and 24857?

We will first find the prime factorization of 24843 and 24857. After we will calculate the factors of 24843 and 24857 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 24857

Prime factors of 24857 are 7, 53, 67. Prime factorization of 24857 in exponential form is:

24857 = 7¹ × 53¹ × 67¹

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 24857

List of positive integer factors of 24857 that divides 24843 without a remainder.

1, 7, 53, 67, 371, 469, 3551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24843 and 24857. The biggest common factor number is the GCF number.
So the greatest common factor 24843 and 24857 is 7.

Also check out the Least Common Multiple of 24843 and 24857