What is the Greatest Common Factor of 91836 and 91851?

Greatest common factor (GCF) of 91836 and 91851 is 3.

GCF(91836,91851) = 3

We will now calculate the prime factors of 91836 and 91851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91836 and 91851.

How to find the GCF of 91836 and 91851?

We will first find the prime factorization of 91836 and 91851. After we will calculate the factors of 91836 and 91851 and find the biggest common factor number .

Step-1: Prime Factorization of 91836

Prime factors of 91836 are 2, 3, 2551. Prime factorization of 91836 in exponential form is:

91836 = 2² × 3² × 2551¹

Step-2: Prime Factorization of 91851

Prime factors of 91851 are 3, 17, 1801. Prime factorization of 91851 in exponential form is:

91851 = 3¹ × 17¹ × 1801¹

Step-3: Factors of 91836

List of positive integer factors of 91836 that divides 91836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2551, 5102, 7653, 10204, 15306, 22959, 30612, 45918

Step-4: Factors of 91851

List of positive integer factors of 91851 that divides 91836 without a remainder.

1, 3, 17, 51, 1801, 5403, 30617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91836 and 91851. The biggest common factor number is the GCF number.
So the greatest common factor 91836 and 91851 is 3.

Also check out the Least Common Multiple of 91836 and 91851