What is the Greatest Common Factor of 22020 and 22035?

Greatest common factor (GCF) of 22020 and 22035 is 15.

GCF(22020,22035) = 15

We will now calculate the prime factors of 22020 and 22035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22020 and 22035.

How to find the GCF of 22020 and 22035?

We will first find the prime factorization of 22020 and 22035. After we will calculate the factors of 22020 and 22035 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 22035

Prime factors of 22035 are 3, 5, 13, 113. Prime factorization of 22035 in exponential form is:

22035 = 3¹ × 5¹ × 13¹ × 113¹

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 22035

List of positive integer factors of 22035 that divides 22020 without a remainder.

1, 3, 5, 13, 15, 39, 65, 113, 195, 339, 565, 1469, 1695, 4407, 7345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22020 and 22035. The biggest common factor number is the GCF number.
So the greatest common factor 22020 and 22035 is 15.

Also check out the Least Common Multiple of 22020 and 22035