What is the Greatest Common Factor of 52225 and 52230?

Greatest common factor (GCF) of 52225 and 52230 is 5.

GCF(52225,52230) = 5

We will now calculate the prime factors of 52225 and 52230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52225 and 52230.

How to find the GCF of 52225 and 52230?

We will first find the prime factorization of 52225 and 52230. After we will calculate the factors of 52225 and 52230 and find the biggest common factor number .

Step-1: Prime Factorization of 52225

Prime factors of 52225 are 5, 2089. Prime factorization of 52225 in exponential form is:

52225 = 5² × 2089¹

Step-2: Prime Factorization of 52230

Prime factors of 52230 are 2, 3, 5, 1741. Prime factorization of 52230 in exponential form is:

52230 = 2¹ × 3¹ × 5¹ × 1741¹

Step-3: Factors of 52225

List of positive integer factors of 52225 that divides 52225 without a remainder.

1, 5, 25, 2089, 10445

Step-4: Factors of 52230

List of positive integer factors of 52230 that divides 52225 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1741, 3482, 5223, 8705, 10446, 17410, 26115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52225 and 52230. The biggest common factor number is the GCF number.
So the greatest common factor 52225 and 52230 is 5.

Also check out the Least Common Multiple of 52225 and 52230