What is the Greatest Common Factor of 91434 and 91443?

Greatest common factor (GCF) of 91434 and 91443 is 3.

GCF(91434,91443) = 3

We will now calculate the prime factors of 91434 and 91443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91434 and 91443.

How to find the GCF of 91434 and 91443?

We will first find the prime factorization of 91434 and 91443. After we will calculate the factors of 91434 and 91443 and find the biggest common factor number .

Step-1: Prime Factorization of 91434

Prime factors of 91434 are 2, 3, 7, 311. Prime factorization of 91434 in exponential form is:

91434 = 2¹ × 3¹ × 7² × 311¹

Step-2: Prime Factorization of 91443

Prime factors of 91443 are 3, 11, 17, 163. Prime factorization of 91443 in exponential form is:

91443 = 3¹ × 11¹ × 17¹ × 163¹

Step-3: Factors of 91434

List of positive integer factors of 91434 that divides 91434 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 311, 622, 933, 1866, 2177, 4354, 6531, 13062, 15239, 30478, 45717

Step-4: Factors of 91443

List of positive integer factors of 91443 that divides 91434 without a remainder.

1, 3, 11, 17, 33, 51, 163, 187, 489, 561, 1793, 2771, 5379, 8313, 30481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91434 and 91443. The biggest common factor number is the GCF number.
So the greatest common factor 91434 and 91443 is 3.

Also check out the Least Common Multiple of 91434 and 91443