What is the Greatest Common Factor of 91225 and 91230?

Greatest common factor (GCF) of 91225 and 91230 is 5.

GCF(91225,91230) = 5

We will now calculate the prime factors of 91225 and 91230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91225 and 91230.

How to find the GCF of 91225 and 91230?

We will first find the prime factorization of 91225 and 91230. After we will calculate the factors of 91225 and 91230 and find the biggest common factor number .

Step-1: Prime Factorization of 91225

Prime factors of 91225 are 5, 41, 89. Prime factorization of 91225 in exponential form is:

91225 = 5² × 41¹ × 89¹

Step-2: Prime Factorization of 91230

Prime factors of 91230 are 2, 3, 5, 3041. Prime factorization of 91230 in exponential form is:

91230 = 2¹ × 3¹ × 5¹ × 3041¹

Step-3: Factors of 91225

List of positive integer factors of 91225 that divides 91225 without a remainder.

1, 5, 25, 41, 89, 205, 445, 1025, 2225, 3649, 18245

Step-4: Factors of 91230

List of positive integer factors of 91230 that divides 91225 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3041, 6082, 9123, 15205, 18246, 30410, 45615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91225 and 91230. The biggest common factor number is the GCF number.
So the greatest common factor 91225 and 91230 is 5.

Also check out the Least Common Multiple of 91225 and 91230