What is the Greatest Common Factor of 21175 and 21186?

Greatest common factor (GCF) of 21175 and 21186 is 11.

GCF(21175,21186) = 11

We will now calculate the prime factors of 21175 and 21186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21175 and 21186.

How to find the GCF of 21175 and 21186?

We will first find the prime factorization of 21175 and 21186. After we will calculate the factors of 21175 and 21186 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 21186

Prime factors of 21186 are 2, 3, 11, 107. Prime factorization of 21186 in exponential form is:

21186 = 2¹ × 3² × 11¹ × 107¹

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 21186

List of positive integer factors of 21186 that divides 21175 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 107, 198, 214, 321, 642, 963, 1177, 1926, 2354, 3531, 7062, 10593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21175 and 21186. The biggest common factor number is the GCF number.
So the greatest common factor 21175 and 21186 is 11.

Also check out the Least Common Multiple of 21175 and 21186