What is the Greatest Common Factor of 16497 and 16501?

Greatest common factor (GCF) of 16497 and 16501 is 1.

GCF(16497,16501) = 1

We will now calculate the prime factors of 16497 and 16501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16497 and 16501.

How to find the GCF of 16497 and 16501?

We will first find the prime factorization of 16497 and 16501. After we will calculate the factors of 16497 and 16501 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16501

Prime factors of 16501 are 29, 569. Prime factorization of 16501 in exponential form is:

16501 = 29¹ × 569¹

Step-3: Factors of 16497

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

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

Step-4: Factors of 16501

List of positive integer factors of 16501 that divides 16497 without a remainder.

1, 29, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16497 and 16501. The biggest common factor number is the GCF number.
So the greatest common factor 16497 and 16501 is 1.

Also check out the Least Common Multiple of 16497 and 16501