What is the Greatest Common Factor of 24822 and 24829?

Greatest common factor (GCF) of 24822 and 24829 is 7.

GCF(24822,24829) = 7

We will now calculate the prime factors of 24822 and 24829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24822 and 24829.

How to find the GCF of 24822 and 24829?

We will first find the prime factorization of 24822 and 24829. After we will calculate the factors of 24822 and 24829 and find the biggest common factor number .

Step-1: Prime Factorization of 24822

Prime factors of 24822 are 2, 3, 7, 197. Prime factorization of 24822 in exponential form is:

24822 = 2¹ × 3² × 7¹ × 197¹

Step-2: Prime Factorization of 24829

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

24829 = 7¹ × 3547¹

Step-3: Factors of 24822

List of positive integer factors of 24822 that divides 24822 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 197, 394, 591, 1182, 1379, 1773, 2758, 3546, 4137, 8274, 12411

Step-4: Factors of 24829

List of positive integer factors of 24829 that divides 24822 without a remainder.

1, 7, 3547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24822 and 24829. The biggest common factor number is the GCF number.
So the greatest common factor 24822 and 24829 is 7.

Also check out the Least Common Multiple of 24822 and 24829