What is the Greatest Common Factor of 22038 and 22044?

Greatest common factor (GCF) of 22038 and 22044 is 6.

GCF(22038,22044) = 6

We will now calculate the prime factors of 22038 and 22044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22038 and 22044.

How to find the GCF of 22038 and 22044?

We will first find the prime factorization of 22038 and 22044. After we will calculate the factors of 22038 and 22044 and find the biggest common factor number .

Step-1: Prime Factorization of 22038

Prime factors of 22038 are 2, 3, 3673. Prime factorization of 22038 in exponential form is:

22038 = 2¹ × 3¹ × 3673¹

Step-2: Prime Factorization of 22044

Prime factors of 22044 are 2, 3, 11, 167. Prime factorization of 22044 in exponential form is:

22044 = 2² × 3¹ × 11¹ × 167¹

Step-3: Factors of 22038

List of positive integer factors of 22038 that divides 22038 without a remainder.

1, 2, 3, 6, 3673, 7346, 11019

Step-4: Factors of 22044

List of positive integer factors of 22044 that divides 22038 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 167, 334, 501, 668, 1002, 1837, 2004, 3674, 5511, 7348, 11022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22038 and 22044. The biggest common factor number is the GCF number.
So the greatest common factor 22038 and 22044 is 6.

Also check out the Least Common Multiple of 22038 and 22044