What is the Greatest Common Factor of 17457 and 17469?

Greatest common factor (GCF) of 17457 and 17469 is 3.

GCF(17457,17469) = 3

We will now calculate the prime factors of 17457 and 17469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17457 and 17469.

How to find the GCF of 17457 and 17469?

We will first find the prime factorization of 17457 and 17469. After we will calculate the factors of 17457 and 17469 and find the biggest common factor number .

Step-1: Prime Factorization of 17457

Prime factors of 17457 are 3, 11, 23. Prime factorization of 17457 in exponential form is:

17457 = 3¹ × 11¹ × 23²

Step-2: Prime Factorization of 17469

Prime factors of 17469 are 3, 647. Prime factorization of 17469 in exponential form is:

17469 = 3³ × 647¹

Step-3: Factors of 17457

List of positive integer factors of 17457 that divides 17457 without a remainder.

1, 3, 11, 23, 33, 69, 253, 529, 759, 1587, 5819

Step-4: Factors of 17469

List of positive integer factors of 17469 that divides 17457 without a remainder.

1, 3, 9, 27, 647, 1941, 5823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17457 and 17469. The biggest common factor number is the GCF number.
So the greatest common factor 17457 and 17469 is 3.

Also check out the Least Common Multiple of 17457 and 17469