What is the Greatest Common Factor of 89225 and 89231?

Greatest common factor (GCF) of 89225 and 89231 is 1.

GCF(89225,89231) = 1

We will now calculate the prime factors of 89225 and 89231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89225 and 89231.

How to find the GCF of 89225 and 89231?

We will first find the prime factorization of 89225 and 89231. After we will calculate the factors of 89225 and 89231 and find the biggest common factor number .

Step-1: Prime Factorization of 89225

Prime factors of 89225 are 5, 43, 83. Prime factorization of 89225 in exponential form is:

89225 = 5² × 43¹ × 83¹

Step-2: Prime Factorization of 89231

Prime factors of 89231 are 89231. Prime factorization of 89231 in exponential form is:

89231 = 89231¹

Step-3: Factors of 89225

List of positive integer factors of 89225 that divides 89225 without a remainder.

1, 5, 25, 43, 83, 215, 415, 1075, 2075, 3569, 17845

Step-4: Factors of 89231

List of positive integer factors of 89231 that divides 89225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89225 and 89231. The biggest common factor number is the GCF number.
So the greatest common factor 89225 and 89231 is 1.

Also check out the Least Common Multiple of 89225 and 89231