What is the Greatest Common Factor of 22233 and 22242?

Greatest common factor (GCF) of 22233 and 22242 is 3.

GCF(22233,22242) = 3

We will now calculate the prime factors of 22233 and 22242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22233 and 22242.

How to find the GCF of 22233 and 22242?

We will first find the prime factorization of 22233 and 22242. After we will calculate the factors of 22233 and 22242 and find the biggest common factor number .

Step-1: Prime Factorization of 22233

Prime factors of 22233 are 3, 7411. Prime factorization of 22233 in exponential form is:

22233 = 3¹ × 7411¹

Step-2: Prime Factorization of 22242

Prime factors of 22242 are 2, 3, 11, 337. Prime factorization of 22242 in exponential form is:

22242 = 2¹ × 3¹ × 11¹ × 337¹

Step-3: Factors of 22233

List of positive integer factors of 22233 that divides 22233 without a remainder.

1, 3, 7411

Step-4: Factors of 22242

List of positive integer factors of 22242 that divides 22233 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 337, 674, 1011, 2022, 3707, 7414, 11121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22233 and 22242. The biggest common factor number is the GCF number.
So the greatest common factor 22233 and 22242 is 3.

Also check out the Least Common Multiple of 22233 and 22242