What is the Greatest Common Factor of 24885 and 24891?

Greatest common factor (GCF) of 24885 and 24891 is 3.

GCF(24885,24891) = 3

We will now calculate the prime factors of 24885 and 24891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24885 and 24891.

How to find the GCF of 24885 and 24891?

We will first find the prime factorization of 24885 and 24891. After we will calculate the factors of 24885 and 24891 and find the biggest common factor number .

Step-1: Prime Factorization of 24885

Prime factors of 24885 are 3, 5, 7, 79. Prime factorization of 24885 in exponential form is:

24885 = 3² × 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 24891

Prime factors of 24891 are 3, 8297. Prime factorization of 24891 in exponential form is:

24891 = 3¹ × 8297¹

Step-3: Factors of 24885

List of positive integer factors of 24885 that divides 24885 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 79, 105, 237, 315, 395, 553, 711, 1185, 1659, 2765, 3555, 4977, 8295

Step-4: Factors of 24891

List of positive integer factors of 24891 that divides 24885 without a remainder.

1, 3, 8297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24885 and 24891. The biggest common factor number is the GCF number.
So the greatest common factor 24885 and 24891 is 3.

Also check out the Least Common Multiple of 24885 and 24891