What is the Greatest Common Factor of 33022 and 33041?

Greatest common factor (GCF) of 33022 and 33041 is 19.

GCF(33022,33041) = 19

We will now calculate the prime factors of 33022 and 33041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33022 and 33041.

How to find the GCF of 33022 and 33041?

We will first find the prime factorization of 33022 and 33041. After we will calculate the factors of 33022 and 33041 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33041

Prime factors of 33041 are 19, 37, 47. Prime factorization of 33041 in exponential form is:

33041 = 19¹ × 37¹ × 47¹

Step-3: Factors of 33022

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

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

Step-4: Factors of 33041

List of positive integer factors of 33041 that divides 33022 without a remainder.

1, 19, 37, 47, 703, 893, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33022 and 33041. The biggest common factor number is the GCF number.
So the greatest common factor 33022 and 33041 is 19.

Also check out the Least Common Multiple of 33022 and 33041