What is the Greatest Common Factor of 22004 and 22020?

Greatest common factor (GCF) of 22004 and 22020 is 4.

GCF(22004,22020) = 4

We will now calculate the prime factors of 22004 and 22020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22004 and 22020.

How to find the GCF of 22004 and 22020?

We will first find the prime factorization of 22004 and 22020. After we will calculate the factors of 22004 and 22020 and find the biggest common factor number .

Step-1: Prime Factorization of 22004

Prime factors of 22004 are 2, 5501. Prime factorization of 22004 in exponential form is:

22004 = 2² × 5501¹

Step-2: 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-3: Factors of 22004

List of positive integer factors of 22004 that divides 22004 without a remainder.

1, 2, 4, 5501, 11002

Step-4: Factors of 22020

List of positive integer factors of 22020 that divides 22004 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22004 and 22020. The biggest common factor number is the GCF number.
So the greatest common factor 22004 and 22020 is 4.

Also check out the Least Common Multiple of 22004 and 22020