What is the Greatest Common Factor of 91235 and 91250?

Greatest common factor (GCF) of 91235 and 91250 is 5.

GCF(91235,91250) = 5

We will now calculate the prime factors of 91235 and 91250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91235 and 91250.

How to find the GCF of 91235 and 91250?

We will first find the prime factorization of 91235 and 91250. After we will calculate the factors of 91235 and 91250 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91250

Prime factors of 91250 are 2, 5, 73. Prime factorization of 91250 in exponential form is:

91250 = 2¹ × 5⁴ × 73¹

Step-3: Factors of 91235

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

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

Step-4: Factors of 91250

List of positive integer factors of 91250 that divides 91235 without a remainder.

1, 2, 5, 10, 25, 50, 73, 125, 146, 250, 365, 625, 730, 1250, 1825, 3650, 9125, 18250, 45625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91235 and 91250. The biggest common factor number is the GCF number.
So the greatest common factor 91235 and 91250 is 5.

Also check out the Least Common Multiple of 91235 and 91250