What is the Greatest Common Factor of 21175 and 21187?

Greatest common factor (GCF) of 21175 and 21187 is 1.

GCF(21175,21187) = 1

We will now calculate the prime factors of 21175 and 21187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21175 and 21187.

How to find the GCF of 21175 and 21187?

We will first find the prime factorization of 21175 and 21187. After we will calculate the factors of 21175 and 21187 and find the biggest common factor number .

Step-1: Prime Factorization of 21175

Prime factors of 21175 are 5, 7, 11. Prime factorization of 21175 in exponential form is:

21175 = 5² × 7¹ × 11²

Step-2: Prime Factorization of 21187

Prime factors of 21187 are 21187. Prime factorization of 21187 in exponential form is:

21187 = 21187¹

Step-3: Factors of 21175

List of positive integer factors of 21175 that divides 21175 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 121, 175, 275, 385, 605, 847, 1925, 3025, 4235

Step-4: Factors of 21187

List of positive integer factors of 21187 that divides 21175 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21175 and 21187. The biggest common factor number is the GCF number.
So the greatest common factor 21175 and 21187 is 1.

Also check out the Least Common Multiple of 21175 and 21187