What is the Greatest Common Factor of 21075 and 21095?

Greatest common factor (GCF) of 21075 and 21095 is 5.

GCF(21075,21095) = 5

We will now calculate the prime factors of 21075 and 21095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21075 and 21095.

How to find the GCF of 21075 and 21095?

We will first find the prime factorization of 21075 and 21095. After we will calculate the factors of 21075 and 21095 and find the biggest common factor number .

Step-1: Prime Factorization of 21075

Prime factors of 21075 are 3, 5, 281. Prime factorization of 21075 in exponential form is:

21075 = 3¹ × 5² × 281¹

Step-2: Prime Factorization of 21095

Prime factors of 21095 are 5, 4219. Prime factorization of 21095 in exponential form is:

21095 = 5¹ × 4219¹

Step-3: Factors of 21075

List of positive integer factors of 21075 that divides 21075 without a remainder.

1, 3, 5, 15, 25, 75, 281, 843, 1405, 4215, 7025

Step-4: Factors of 21095

List of positive integer factors of 21095 that divides 21075 without a remainder.

1, 5, 4219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21075 and 21095. The biggest common factor number is the GCF number.
So the greatest common factor 21075 and 21095 is 5.

Also check out the Least Common Multiple of 21075 and 21095