What is the Greatest Common Factor of 21225 and 21232?

Greatest common factor (GCF) of 21225 and 21232 is 1.

GCF(21225,21232) = 1

We will now calculate the prime factors of 21225 and 21232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21225 and 21232.

How to find the GCF of 21225 and 21232?

We will first find the prime factorization of 21225 and 21232. After we will calculate the factors of 21225 and 21232 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 21232

Prime factors of 21232 are 2, 1327. Prime factorization of 21232 in exponential form is:

21232 = 2⁴ × 1327¹

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 21232

List of positive integer factors of 21232 that divides 21225 without a remainder.

1, 2, 4, 8, 16, 1327, 2654, 5308, 10616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21225 and 21232. The biggest common factor number is the GCF number.
So the greatest common factor 21225 and 21232 is 1.

Also check out the Least Common Multiple of 21225 and 21232