What is the Greatest Common Factor of 17649 and 17663?

Greatest common factor (GCF) of 17649 and 17663 is 1.

GCF(17649,17663) = 1

We will now calculate the prime factors of 17649 and 17663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17649 and 17663.

How to find the GCF of 17649 and 17663?

We will first find the prime factorization of 17649 and 17663. After we will calculate the factors of 17649 and 17663 and find the biggest common factor number .

Step-1: Prime Factorization of 17649

Prime factors of 17649 are 3, 37, 53. Prime factorization of 17649 in exponential form is:

17649 = 3² × 37¹ × 53¹

Step-2: Prime Factorization of 17663

Prime factors of 17663 are 17, 1039. Prime factorization of 17663 in exponential form is:

17663 = 17¹ × 1039¹

Step-3: Factors of 17649

List of positive integer factors of 17649 that divides 17649 without a remainder.

1, 3, 9, 37, 53, 111, 159, 333, 477, 1961, 5883

Step-4: Factors of 17663

List of positive integer factors of 17663 that divides 17649 without a remainder.

1, 17, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17649 and 17663. The biggest common factor number is the GCF number.
So the greatest common factor 17649 and 17663 is 1.

Also check out the Least Common Multiple of 17649 and 17663