What is the Greatest Common Factor of 21175 and 21190?

Greatest common factor (GCF) of 21175 and 21190 is 5.

GCF(21175,21190) = 5

We will now calculate the prime factors of 21175 and 21190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21175 and 21190.

How to find the GCF of 21175 and 21190?

We will first find the prime factorization of 21175 and 21190. After we will calculate the factors of 21175 and 21190 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 21190

Prime factors of 21190 are 2, 5, 13, 163. Prime factorization of 21190 in exponential form is:

21190 = 2¹ × 5¹ × 13¹ × 163¹

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 21190

List of positive integer factors of 21190 that divides 21175 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 163, 326, 815, 1630, 2119, 4238, 10595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21175 and 21190. The biggest common factor number is the GCF number.
So the greatest common factor 21175 and 21190 is 5.

Also check out the Least Common Multiple of 21175 and 21190