What is the Greatest Common Factor of 19822 and 19833?

Greatest common factor (GCF) of 19822 and 19833 is 11.

GCF(19822,19833) = 11

We will now calculate the prime factors of 19822 and 19833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19822 and 19833.

How to find the GCF of 19822 and 19833?

We will first find the prime factorization of 19822 and 19833. After we will calculate the factors of 19822 and 19833 and find the biggest common factor number .

Step-1: Prime Factorization of 19822

Prime factors of 19822 are 2, 11, 17, 53. Prime factorization of 19822 in exponential form is:

19822 = 2¹ × 11¹ × 17¹ × 53¹

Step-2: Prime Factorization of 19833

Prime factors of 19833 are 3, 11, 601. Prime factorization of 19833 in exponential form is:

19833 = 3¹ × 11¹ × 601¹

Step-3: Factors of 19822

List of positive integer factors of 19822 that divides 19822 without a remainder.

1, 2, 11, 17, 22, 34, 53, 106, 187, 374, 583, 901, 1166, 1802, 9911

Step-4: Factors of 19833

List of positive integer factors of 19833 that divides 19822 without a remainder.

1, 3, 11, 33, 601, 1803, 6611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19822 and 19833. The biggest common factor number is the GCF number.
So the greatest common factor 19822 and 19833 is 11.

Also check out the Least Common Multiple of 19822 and 19833