What is the Greatest Common Factor of 33003 and 33022?

Greatest common factor (GCF) of 33003 and 33022 is 19.

GCF(33003,33022) = 19

We will now calculate the prime factors of 33003 and 33022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33003 and 33022.

How to find the GCF of 33003 and 33022?

We will first find the prime factorization of 33003 and 33022. After we will calculate the factors of 33003 and 33022 and find the biggest common factor number .

Step-1: Prime Factorization of 33003

Prime factors of 33003 are 3, 19, 193. Prime factorization of 33003 in exponential form is:

33003 = 3² × 19¹ × 193¹

Step-2: Prime Factorization of 33022

Prime factors of 33022 are 2, 11, 19, 79. Prime factorization of 33022 in exponential form is:

33022 = 2¹ × 11¹ × 19¹ × 79¹

Step-3: Factors of 33003

List of positive integer factors of 33003 that divides 33003 without a remainder.

1, 3, 9, 19, 57, 171, 193, 579, 1737, 3667, 11001

Step-4: Factors of 33022

List of positive integer factors of 33022 that divides 33003 without a remainder.

1, 2, 11, 19, 22, 38, 79, 158, 209, 418, 869, 1501, 1738, 3002, 16511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33003 and 33022. The biggest common factor number is the GCF number.
So the greatest common factor 33003 and 33022 is 19.

Also check out the Least Common Multiple of 33003 and 33022