What is the Greatest Common Factor of 16491 and 16497?

Greatest common factor (GCF) of 16491 and 16497 is 3.

GCF(16491,16497) = 3

We will now calculate the prime factors of 16491 and 16497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16491 and 16497.

How to find the GCF of 16491 and 16497?

We will first find the prime factorization of 16491 and 16497. After we will calculate the factors of 16491 and 16497 and find the biggest common factor number .

Step-1: Prime Factorization of 16491

Prime factors of 16491 are 3, 23, 239. Prime factorization of 16491 in exponential form is:

16491 = 3¹ × 23¹ × 239¹

Step-2: Prime Factorization of 16497

Prime factors of 16497 are 3, 13, 47. Prime factorization of 16497 in exponential form is:

16497 = 3³ × 13¹ × 47¹

Step-3: Factors of 16491

List of positive integer factors of 16491 that divides 16491 without a remainder.

1, 3, 23, 69, 239, 717, 5497

Step-4: Factors of 16497

List of positive integer factors of 16497 that divides 16491 without a remainder.

1, 3, 9, 13, 27, 39, 47, 117, 141, 351, 423, 611, 1269, 1833, 5499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16491 and 16497. The biggest common factor number is the GCF number.
So the greatest common factor 16491 and 16497 is 3.

Also check out the Least Common Multiple of 16491 and 16497