What is the Greatest Common Factor of 21225 and 21230?

Greatest common factor (GCF) of 21225 and 21230 is 5.

GCF(21225,21230) = 5

We will now calculate the prime factors of 21225 and 21230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21225 and 21230.

How to find the GCF of 21225 and 21230?

We will first find the prime factorization of 21225 and 21230. After we will calculate the factors of 21225 and 21230 and find the biggest common factor number .

Step-1: Prime Factorization of 21225

Prime factors of 21225 are 3, 5, 283. Prime factorization of 21225 in exponential form is:

21225 = 3¹ × 5² × 283¹

Step-2: Prime Factorization of 21230

Prime factors of 21230 are 2, 5, 11, 193. Prime factorization of 21230 in exponential form is:

21230 = 2¹ × 5¹ × 11¹ × 193¹

Step-3: Factors of 21225

List of positive integer factors of 21225 that divides 21225 without a remainder.

1, 3, 5, 15, 25, 75, 283, 849, 1415, 4245, 7075

Step-4: Factors of 21230

List of positive integer factors of 21230 that divides 21225 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 193, 386, 965, 1930, 2123, 4246, 10615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21225 and 21230. The biggest common factor number is the GCF number.
So the greatest common factor 21225 and 21230 is 5.

Also check out the Least Common Multiple of 21225 and 21230