What is the Greatest Common Factor of 17802 and 17817?

Greatest common factor (GCF) of 17802 and 17817 is 3.

GCF(17802,17817) = 3

We will now calculate the prime factors of 17802 and 17817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17802 and 17817.

How to find the GCF of 17802 and 17817?

We will first find the prime factorization of 17802 and 17817. After we will calculate the factors of 17802 and 17817 and find the biggest common factor number .

Step-1: Prime Factorization of 17802

Prime factors of 17802 are 2, 3, 23, 43. Prime factorization of 17802 in exponential form is:

17802 = 2¹ × 3² × 23¹ × 43¹

Step-2: Prime Factorization of 17817

Prime factors of 17817 are 3, 5939. Prime factorization of 17817 in exponential form is:

17817 = 3¹ × 5939¹

Step-3: Factors of 17802

List of positive integer factors of 17802 that divides 17802 without a remainder.

1, 2, 3, 6, 9, 18, 23, 43, 46, 69, 86, 129, 138, 207, 258, 387, 414, 774, 989, 1978, 2967, 5934, 8901

Step-4: Factors of 17817

List of positive integer factors of 17817 that divides 17802 without a remainder.

1, 3, 5939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17802 and 17817. The biggest common factor number is the GCF number.
So the greatest common factor 17802 and 17817 is 3.

Also check out the Least Common Multiple of 17802 and 17817