What is the Greatest Common Factor of 17803 and 17822?

Greatest common factor (GCF) of 17803 and 17822 is 19.

GCF(17803,17822) = 19

We will now calculate the prime factors of 17803 and 17822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17803 and 17822.

How to find the GCF of 17803 and 17822?

We will first find the prime factorization of 17803 and 17822. After we will calculate the factors of 17803 and 17822 and find the biggest common factor number .

Step-1: Prime Factorization of 17803

Prime factors of 17803 are 19, 937. Prime factorization of 17803 in exponential form is:

17803 = 19¹ × 937¹

Step-2: Prime Factorization of 17822

Prime factors of 17822 are 2, 7, 19, 67. Prime factorization of 17822 in exponential form is:

17822 = 2¹ × 7¹ × 19¹ × 67¹

Step-3: Factors of 17803

List of positive integer factors of 17803 that divides 17803 without a remainder.

1, 19, 937

Step-4: Factors of 17822

List of positive integer factors of 17822 that divides 17803 without a remainder.

1, 2, 7, 14, 19, 38, 67, 133, 134, 266, 469, 938, 1273, 2546, 8911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17803 and 17822. The biggest common factor number is the GCF number.
So the greatest common factor 17803 and 17822 is 19.

Also check out the Least Common Multiple of 17803 and 17822