What is the Greatest Common Factor of 91225 and 91235?

Greatest common factor (GCF) of 91225 and 91235 is 5.

GCF(91225,91235) = 5

We will now calculate the prime factors of 91225 and 91235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91225 and 91235.

How to find the GCF of 91225 and 91235?

We will first find the prime factorization of 91225 and 91235. After we will calculate the factors of 91225 and 91235 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 91235

Prime factors of 91235 are 5, 71, 257. Prime factorization of 91235 in exponential form is:

91235 = 5¹ × 71¹ × 257¹

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 91235

List of positive integer factors of 91235 that divides 91225 without a remainder.

1, 5, 71, 257, 355, 1285, 18247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91225 and 91235. The biggest common factor number is the GCF number.
So the greatest common factor 91225 and 91235 is 5.

Also check out the Least Common Multiple of 91225 and 91235