What is the Greatest Common Factor of 22020 and 22038?

Greatest common factor (GCF) of 22020 and 22038 is 6.

GCF(22020,22038) = 6

We will now calculate the prime factors of 22020 and 22038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22020 and 22038.

How to find the GCF of 22020 and 22038?

We will first find the prime factorization of 22020 and 22038. After we will calculate the factors of 22020 and 22038 and find the biggest common factor number .

Step-1: Prime Factorization of 22020

Prime factors of 22020 are 2, 3, 5, 367. Prime factorization of 22020 in exponential form is:

22020 = 2² × 3¹ × 5¹ × 367¹

Step-2: 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-3: Factors of 22020

List of positive integer factors of 22020 that divides 22020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 367, 734, 1101, 1468, 1835, 2202, 3670, 4404, 5505, 7340, 11010

Step-4: Factors of 22038

List of positive integer factors of 22038 that divides 22020 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22020 and 22038. The biggest common factor number is the GCF number.
So the greatest common factor 22020 and 22038 is 6.

Also check out the Least Common Multiple of 22020 and 22038