What is the Greatest Common Factor of 21875 and 21891?

Greatest common factor (GCF) of 21875 and 21891 is 1.

GCF(21875,21891) = 1

We will now calculate the prime factors of 21875 and 21891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21875 and 21891.

How to find the GCF of 21875 and 21891?

We will first find the prime factorization of 21875 and 21891. After we will calculate the factors of 21875 and 21891 and find the biggest common factor number .

Step-1: Prime Factorization of 21875

Prime factors of 21875 are 5, 7. Prime factorization of 21875 in exponential form is:

21875 = 5⁵ × 7¹

Step-2: Prime Factorization of 21891

Prime factors of 21891 are 3, 7297. Prime factorization of 21891 in exponential form is:

21891 = 3¹ × 7297¹

Step-3: Factors of 21875

List of positive integer factors of 21875 that divides 21875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 625, 875, 3125, 4375

Step-4: Factors of 21891

List of positive integer factors of 21891 that divides 21875 without a remainder.

1, 3, 7297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21875 and 21891. The biggest common factor number is the GCF number.
So the greatest common factor 21875 and 21891 is 1.

Also check out the Least Common Multiple of 21875 and 21891