What is the Greatest Common Factor of 91210 and 91225?

Greatest common factor (GCF) of 91210 and 91225 is 5.

GCF(91210,91225) = 5

We will now calculate the prime factors of 91210 and 91225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91210 and 91225.

How to find the GCF of 91210 and 91225?

We will first find the prime factorization of 91210 and 91225. After we will calculate the factors of 91210 and 91225 and find the biggest common factor number .

Step-1: Prime Factorization of 91210

Prime factors of 91210 are 2, 5, 7, 1303. Prime factorization of 91210 in exponential form is:

91210 = 2¹ × 5¹ × 7¹ × 1303¹

Step-2: 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-3: Factors of 91210

List of positive integer factors of 91210 that divides 91210 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1303, 2606, 6515, 9121, 13030, 18242, 45605

Step-4: Factors of 91225

List of positive integer factors of 91225 that divides 91210 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91210 and 91225. The biggest common factor number is the GCF number.
So the greatest common factor 91210 and 91225 is 5.

Also check out the Least Common Multiple of 91210 and 91225