What is the Greatest Common Factor of 24829 and 24843?

Greatest common factor (GCF) of 24829 and 24843 is 7.

GCF(24829,24843) = 7

We will now calculate the prime factors of 24829 and 24843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24829 and 24843.

How to find the GCF of 24829 and 24843?

We will first find the prime factorization of 24829 and 24843. After we will calculate the factors of 24829 and 24843 and find the biggest common factor number .

Step-1: Prime Factorization of 24829

Prime factors of 24829 are 7, 3547. Prime factorization of 24829 in exponential form is:

24829 = 7¹ × 3547¹

Step-2: 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-3: Factors of 24829

List of positive integer factors of 24829 that divides 24829 without a remainder.

1, 7, 3547

Step-4: Factors of 24843

List of positive integer factors of 24843 that divides 24829 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24829 and 24843. The biggest common factor number is the GCF number.
So the greatest common factor 24829 and 24843 is 7.

Also check out the Least Common Multiple of 24829 and 24843