What is the Greatest Common Factor of 91218 and 91222?

Greatest common factor (GCF) of 91218 and 91222 is 2.

GCF(91218,91222) = 2

We will now calculate the prime factors of 91218 and 91222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91218 and 91222.

How to find the GCF of 91218 and 91222?

We will first find the prime factorization of 91218 and 91222. After we will calculate the factors of 91218 and 91222 and find the biggest common factor number .

Step-1: Prime Factorization of 91218

Prime factors of 91218 are 2, 3, 23, 661. Prime factorization of 91218 in exponential form is:

91218 = 2¹ × 3¹ × 23¹ × 661¹

Step-2: Prime Factorization of 91222

Prime factors of 91222 are 2, 17, 2683. Prime factorization of 91222 in exponential form is:

91222 = 2¹ × 17¹ × 2683¹

Step-3: Factors of 91218

List of positive integer factors of 91218 that divides 91218 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 661, 1322, 1983, 3966, 15203, 30406, 45609

Step-4: Factors of 91222

List of positive integer factors of 91222 that divides 91218 without a remainder.

1, 2, 17, 34, 2683, 5366, 45611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91218 and 91222. The biggest common factor number is the GCF number.
So the greatest common factor 91218 and 91222 is 2.

Also check out the Least Common Multiple of 91218 and 91222