What is the Greatest Common Factor of 4875 and 4891?

Greatest common factor (GCF) of 4875 and 4891 is 1.

GCF(4875,4891) = 1

We will now calculate the prime factors of 4875 and 4891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4875 and 4891.

How to find the GCF of 4875 and 4891?

We will first find the prime factorization of 4875 and 4891. After we will calculate the factors of 4875 and 4891 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 4891

Prime factors of 4891 are 67, 73. Prime factorization of 4891 in exponential form is:

4891 = 67¹ × 73¹

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 4891

List of positive integer factors of 4891 that divides 4875 without a remainder.

1, 67, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4875 and 4891. The biggest common factor number is the GCF number.
So the greatest common factor 4875 and 4891 is 1.

Also check out the Least Common Multiple of 4875 and 4891