What is the Greatest Common Factor of 24860 and 24875?

Greatest common factor (GCF) of 24860 and 24875 is 5.

GCF(24860,24875) = 5

We will now calculate the prime factors of 24860 and 24875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24860 and 24875.

How to find the GCF of 24860 and 24875?

We will first find the prime factorization of 24860 and 24875. After we will calculate the factors of 24860 and 24875 and find the biggest common factor number .

Step-1: Prime Factorization of 24860

Prime factors of 24860 are 2, 5, 11, 113. Prime factorization of 24860 in exponential form is:

24860 = 2² × 5¹ × 11¹ × 113¹

Step-2: Prime Factorization of 24875

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

24875 = 5³ × 199¹

Step-3: Factors of 24860

List of positive integer factors of 24860 that divides 24860 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 113, 220, 226, 452, 565, 1130, 1243, 2260, 2486, 4972, 6215, 12430

Step-4: Factors of 24875

List of positive integer factors of 24875 that divides 24860 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24860 and 24875. The biggest common factor number is the GCF number.
So the greatest common factor 24860 and 24875 is 5.

Also check out the Least Common Multiple of 24860 and 24875