What is the Greatest Common Factor of 4875 and 4890?

Greatest common factor (GCF) of 4875 and 4890 is 15.

GCF(4875,4890) = 15

We will now calculate the prime factors of 4875 and 4890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4875 and 4890.

How to find the GCF of 4875 and 4890?

We will first find the prime factorization of 4875 and 4890. After we will calculate the factors of 4875 and 4890 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 4890

Prime factors of 4890 are 2, 3, 5, 163. Prime factorization of 4890 in exponential form is:

4890 = 2¹ × 3¹ × 5¹ × 163¹

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 4890

List of positive integer factors of 4890 that divides 4875 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4875 and 4890. The biggest common factor number is the GCF number.
So the greatest common factor 4875 and 4890 is 15.

Also check out the Least Common Multiple of 4875 and 4890