What is the Greatest Common Factor of 22066 and 22083?

Greatest common factor (GCF) of 22066 and 22083 is 17.

GCF(22066,22083) = 17

We will now calculate the prime factors of 22066 and 22083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22066 and 22083.

How to find the GCF of 22066 and 22083?

We will first find the prime factorization of 22066 and 22083. After we will calculate the factors of 22066 and 22083 and find the biggest common factor number .

Step-1: Prime Factorization of 22066

Prime factors of 22066 are 2, 11, 17, 59. Prime factorization of 22066 in exponential form is:

22066 = 2¹ × 11¹ × 17¹ × 59¹

Step-2: Prime Factorization of 22083

Prime factors of 22083 are 3, 17, 433. Prime factorization of 22083 in exponential form is:

22083 = 3¹ × 17¹ × 433¹

Step-3: Factors of 22066

List of positive integer factors of 22066 that divides 22066 without a remainder.

1, 2, 11, 17, 22, 34, 59, 118, 187, 374, 649, 1003, 1298, 2006, 11033

Step-4: Factors of 22083

List of positive integer factors of 22083 that divides 22066 without a remainder.

1, 3, 17, 51, 433, 1299, 7361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22066 and 22083. The biggest common factor number is the GCF number.
So the greatest common factor 22066 and 22083 is 17.

Also check out the Least Common Multiple of 22066 and 22083