What is the Greatest Common Factor of 24875 and 24885?

Greatest common factor (GCF) of 24875 and 24885 is 5.

GCF(24875,24885) = 5

We will now calculate the prime factors of 24875 and 24885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24875 and 24885.

How to find the GCF of 24875 and 24885?

We will first find the prime factorization of 24875 and 24885. After we will calculate the factors of 24875 and 24885 and find the biggest common factor number .

Step-1: Prime Factorization of 24875

Prime factors of 24875 are 5, 199. Prime factorization of 24875 in exponential form is:

24875 = 5³ × 199¹

Step-2: 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-3: Factors of 24875

List of positive integer factors of 24875 that divides 24875 without a remainder.

1, 5, 25, 125, 199, 995, 4975

Step-4: Factors of 24885

List of positive integer factors of 24885 that divides 24875 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24875 and 24885. The biggest common factor number is the GCF number.
So the greatest common factor 24875 and 24885 is 5.

Also check out the Least Common Multiple of 24875 and 24885