What is the Greatest Common Factor of 4875 and 4888?

Greatest common factor (GCF) of 4875 and 4888 is 13.

GCF(4875,4888) = 13

We will now calculate the prime factors of 4875 and 4888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4875 and 4888.

How to find the GCF of 4875 and 4888?

We will first find the prime factorization of 4875 and 4888. After we will calculate the factors of 4875 and 4888 and find the biggest common factor number .

Step-1: Prime Factorization of 4875

Prime factors of 4875 are 3, 5, 13. Prime factorization of 4875 in exponential form is:

4875 = 3¹ × 5³ × 13¹

Step-2: Prime Factorization of 4888

Prime factors of 4888 are 2, 13, 47. Prime factorization of 4888 in exponential form is:

4888 = 2³ × 13¹ × 47¹

Step-3: Factors of 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625

Step-4: Factors of 4888

List of positive integer factors of 4888 that divides 4875 without a remainder.

1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4875 and 4888. The biggest common factor number is the GCF number.
So the greatest common factor 4875 and 4888 is 13.

Also check out the Least Common Multiple of 4875 and 4888