What is the Greatest Common Factor of 4869 and 4875?

Greatest common factor (GCF) of 4869 and 4875 is 3.

GCF(4869,4875) = 3

We will now calculate the prime factors of 4869 and 4875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4869 and 4875.

How to find the GCF of 4869 and 4875?

We will first find the prime factorization of 4869 and 4875. After we will calculate the factors of 4869 and 4875 and find the biggest common factor number .

Step-1: Prime Factorization of 4869

Prime factors of 4869 are 3, 541. Prime factorization of 4869 in exponential form is:

4869 = 3² × 541¹

Step-2: 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-3: Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1, 3, 9, 541, 1623

Step-4: Factors of 4875

List of positive integer factors of 4875 that divides 4869 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4869 and 4875. The biggest common factor number is the GCF number.
So the greatest common factor 4869 and 4875 is 3.

Also check out the Least Common Multiple of 4869 and 4875