What is the Greatest Common Factor of 88225 and 88230?

Greatest common factor (GCF) of 88225 and 88230 is 5.

GCF(88225,88230) = 5

We will now calculate the prime factors of 88225 and 88230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88225 and 88230.

How to find the GCF of 88225 and 88230?

We will first find the prime factorization of 88225 and 88230. After we will calculate the factors of 88225 and 88230 and find the biggest common factor number .

Step-1: Prime Factorization of 88225

Prime factors of 88225 are 5, 3529. Prime factorization of 88225 in exponential form is:

88225 = 5² × 3529¹

Step-2: Prime Factorization of 88230

Prime factors of 88230 are 2, 3, 5, 17, 173. Prime factorization of 88230 in exponential form is:

88230 = 2¹ × 3¹ × 5¹ × 17¹ × 173¹

Step-3: Factors of 88225

List of positive integer factors of 88225 that divides 88225 without a remainder.

1, 5, 25, 3529, 17645

Step-4: Factors of 88230

List of positive integer factors of 88230 that divides 88225 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 173, 255, 346, 510, 519, 865, 1038, 1730, 2595, 2941, 5190, 5882, 8823, 14705, 17646, 29410, 44115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88225 and 88230. The biggest common factor number is the GCF number.
So the greatest common factor 88225 and 88230 is 5.

Also check out the Least Common Multiple of 88225 and 88230