What is the Greatest Common Factor of 91218 and 91233?

Greatest common factor (GCF) of 91218 and 91233 is 3.

GCF(91218,91233) = 3

We will now calculate the prime factors of 91218 and 91233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91218 and 91233.

How to find the GCF of 91218 and 91233?

We will first find the prime factorization of 91218 and 91233. After we will calculate the factors of 91218 and 91233 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 91233

Prime factors of 91233 are 3, 31, 109. Prime factorization of 91233 in exponential form is:

91233 = 3³ × 31¹ × 109¹

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 91233

List of positive integer factors of 91233 that divides 91218 without a remainder.

1, 3, 9, 27, 31, 93, 109, 279, 327, 837, 981, 2943, 3379, 10137, 30411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91218 and 91233. The biggest common factor number is the GCF number.
So the greatest common factor 91218 and 91233 is 3.

Also check out the Least Common Multiple of 91218 and 91233