What is the Greatest Common Factor of 21175 and 21184?

Greatest common factor (GCF) of 21175 and 21184 is 1.

GCF(21175,21184) = 1

We will now calculate the prime factors of 21175 and 21184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21175 and 21184.

How to find the GCF of 21175 and 21184?

We will first find the prime factorization of 21175 and 21184. After we will calculate the factors of 21175 and 21184 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 21184

Prime factors of 21184 are 2, 331. Prime factorization of 21184 in exponential form is:

21184 = 2⁶ × 331¹

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 21184

List of positive integer factors of 21184 that divides 21175 without a remainder.

1, 2, 4, 8, 16, 32, 64, 331, 662, 1324, 2648, 5296, 10592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21175 and 21184. The biggest common factor number is the GCF number.
So the greatest common factor 21175 and 21184 is 1.

Also check out the Least Common Multiple of 21175 and 21184