What is the Greatest Common Factor of 66022 and 66033?

Greatest common factor (GCF) of 66022 and 66033 is 11.

GCF(66022,66033) = 11

We will now calculate the prime factors of 66022 and 66033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66022 and 66033.

How to find the GCF of 66022 and 66033?

We will first find the prime factorization of 66022 and 66033. After we will calculate the factors of 66022 and 66033 and find the biggest common factor number .

Step-1: Prime Factorization of 66022

Prime factors of 66022 are 2, 11, 3001. Prime factorization of 66022 in exponential form is:

66022 = 2¹ × 11¹ × 3001¹

Step-2: Prime Factorization of 66033

Prime factors of 66033 are 3, 11, 23, 29. Prime factorization of 66033 in exponential form is:

66033 = 3² × 11¹ × 23¹ × 29¹

Step-3: Factors of 66022

List of positive integer factors of 66022 that divides 66022 without a remainder.

1, 2, 11, 22, 3001, 6002, 33011

Step-4: Factors of 66033

List of positive integer factors of 66033 that divides 66022 without a remainder.

1, 3, 9, 11, 23, 29, 33, 69, 87, 99, 207, 253, 261, 319, 667, 759, 957, 2001, 2277, 2871, 6003, 7337, 22011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66022 and 66033. The biggest common factor number is the GCF number.
So the greatest common factor 66022 and 66033 is 11.

Also check out the Least Common Multiple of 66022 and 66033