What is the Greatest Common Factor of 91221 and 91234?

Greatest common factor (GCF) of 91221 and 91234 is 13.

GCF(91221,91234) = 13

We will now calculate the prime factors of 91221 and 91234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91221 and 91234.

How to find the GCF of 91221 and 91234?

We will first find the prime factorization of 91221 and 91234. After we will calculate the factors of 91221 and 91234 and find the biggest common factor number .

Step-1: Prime Factorization of 91221

Prime factors of 91221 are 3, 13, 2339. Prime factorization of 91221 in exponential form is:

91221 = 3¹ × 13¹ × 2339¹

Step-2: Prime Factorization of 91234

Prime factors of 91234 are 2, 11, 13, 29. Prime factorization of 91234 in exponential form is:

91234 = 2¹ × 11² × 13¹ × 29¹

Step-3: Factors of 91221

List of positive integer factors of 91221 that divides 91221 without a remainder.

1, 3, 13, 39, 2339, 7017, 30407

Step-4: Factors of 91234

List of positive integer factors of 91234 that divides 91221 without a remainder.

1, 2, 11, 13, 22, 26, 29, 58, 121, 143, 242, 286, 319, 377, 638, 754, 1573, 3146, 3509, 4147, 7018, 8294, 45617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91221 and 91234. The biggest common factor number is the GCF number.
So the greatest common factor 91221 and 91234 is 13.

Also check out the Least Common Multiple of 91221 and 91234