What is the Greatest Common Factor of 24875 and 24888?

Greatest common factor (GCF) of 24875 and 24888 is 1.

GCF(24875,24888) = 1

We will now calculate the prime factors of 24875 and 24888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24875 and 24888.

How to find the GCF of 24875 and 24888?

We will first find the prime factorization of 24875 and 24888. After we will calculate the factors of 24875 and 24888 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 24888

Prime factors of 24888 are 2, 3, 17, 61. Prime factorization of 24888 in exponential form is:

24888 = 2³ × 3¹ × 17¹ × 61¹

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 24888

List of positive integer factors of 24888 that divides 24875 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 61, 68, 102, 122, 136, 183, 204, 244, 366, 408, 488, 732, 1037, 1464, 2074, 3111, 4148, 6222, 8296, 12444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24875 and 24888. The biggest common factor number is the GCF number.
So the greatest common factor 24875 and 24888 is 1.

Also check out the Least Common Multiple of 24875 and 24888