What is the Greatest Common Factor of 24885 and 24905?

Greatest common factor (GCF) of 24885 and 24905 is 5.

GCF(24885,24905) = 5

We will now calculate the prime factors of 24885 and 24905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24885 and 24905.

How to find the GCF of 24885 and 24905?

We will first find the prime factorization of 24885 and 24905. After we will calculate the factors of 24885 and 24905 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 24905

Prime factors of 24905 are 5, 17, 293. Prime factorization of 24905 in exponential form is:

24905 = 5¹ × 17¹ × 293¹

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 24905

List of positive integer factors of 24905 that divides 24885 without a remainder.

1, 5, 17, 85, 293, 1465, 4981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24885 and 24905. The biggest common factor number is the GCF number.
So the greatest common factor 24885 and 24905 is 5.

Also check out the Least Common Multiple of 24885 and 24905