What is the Greatest Common Factor of 24829 and 24844?

Greatest common factor (GCF) of 24829 and 24844 is 1.

GCF(24829,24844) = 1

We will now calculate the prime factors of 24829 and 24844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24829 and 24844.

How to find the GCF of 24829 and 24844?

We will first find the prime factorization of 24829 and 24844. After we will calculate the factors of 24829 and 24844 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 24844

Prime factors of 24844 are 2, 6211. Prime factorization of 24844 in exponential form is:

24844 = 2² × 6211¹

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 24844

List of positive integer factors of 24844 that divides 24829 without a remainder.

1, 2, 4, 6211, 12422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24829 and 24844. The biggest common factor number is the GCF number.
So the greatest common factor 24829 and 24844 is 1.

Also check out the Least Common Multiple of 24829 and 24844