What is the Greatest Common Factor of 1875 and 1891?

Greatest common factor (GCF) of 1875 and 1891 is 1.

GCF(1875,1891) = 1

We will now calculate the prime factors of 1875 and 1891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1875 and 1891.

How to find the GCF of 1875 and 1891?

We will first find the prime factorization of 1875 and 1891. After we will calculate the factors of 1875 and 1891 and find the biggest common factor number .

Step-1: Prime Factorization of 1875

Prime factors of 1875 are 3, 5. Prime factorization of 1875 in exponential form is:

1875 = 3¹ × 5⁴

Step-2: Prime Factorization of 1891

Prime factors of 1891 are 31, 61. Prime factorization of 1891 in exponential form is:

1891 = 31¹ × 61¹

Step-3: Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625

Step-4: Factors of 1891

List of positive integer factors of 1891 that divides 1875 without a remainder.

1, 31, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1875 and 1891. The biggest common factor number is the GCF number.
So the greatest common factor 1875 and 1891 is 1.

Also check out the Least Common Multiple of 1875 and 1891