What is the Greatest Common Factor of 91647 and 91662?

Greatest common factor (GCF) of 91647 and 91662 is 3.

GCF(91647,91662) = 3

We will now calculate the prime factors of 91647 and 91662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91647 and 91662.

How to find the GCF of 91647 and 91662?

We will first find the prime factorization of 91647 and 91662. After we will calculate the factors of 91647 and 91662 and find the biggest common factor number .

Step-1: Prime Factorization of 91647

Prime factors of 91647 are 3, 17, 599. Prime factorization of 91647 in exponential form is:

91647 = 3² × 17¹ × 599¹

Step-2: Prime Factorization of 91662

Prime factors of 91662 are 2, 3, 15277. Prime factorization of 91662 in exponential form is:

91662 = 2¹ × 3¹ × 15277¹

Step-3: Factors of 91647

List of positive integer factors of 91647 that divides 91647 without a remainder.

1, 3, 9, 17, 51, 153, 599, 1797, 5391, 10183, 30549

Step-4: Factors of 91662

List of positive integer factors of 91662 that divides 91647 without a remainder.

1, 2, 3, 6, 15277, 30554, 45831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91647 and 91662. The biggest common factor number is the GCF number.
So the greatest common factor 91647 and 91662 is 3.

Also check out the Least Common Multiple of 91647 and 91662