What is the Greatest Common Factor of 19808 and 19823?

Greatest common factor (GCF) of 19808 and 19823 is 1.

GCF(19808,19823) = 1

We will now calculate the prime factors of 19808 and 19823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19808 and 19823.

How to find the GCF of 19808 and 19823?

We will first find the prime factorization of 19808 and 19823. After we will calculate the factors of 19808 and 19823 and find the biggest common factor number .

Step-1: Prime Factorization of 19808

Prime factors of 19808 are 2, 619. Prime factorization of 19808 in exponential form is:

19808 = 2⁵ × 619¹

Step-2: Prime Factorization of 19823

Prime factors of 19823 are 43, 461. Prime factorization of 19823 in exponential form is:

19823 = 43¹ × 461¹

Step-3: Factors of 19808

List of positive integer factors of 19808 that divides 19808 without a remainder.

1, 2, 4, 8, 16, 32, 619, 1238, 2476, 4952, 9904

Step-4: Factors of 19823

List of positive integer factors of 19823 that divides 19808 without a remainder.

1, 43, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19808 and 19823. The biggest common factor number is the GCF number.
So the greatest common factor 19808 and 19823 is 1.

Also check out the Least Common Multiple of 19808 and 19823