What is the Greatest Common Factor of 22010 and 22030?

Greatest common factor (GCF) of 22010 and 22030 is 10.

GCF(22010,22030) = 10

We will now calculate the prime factors of 22010 and 22030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22010 and 22030.

How to find the GCF of 22010 and 22030?

We will first find the prime factorization of 22010 and 22030. After we will calculate the factors of 22010 and 22030 and find the biggest common factor number .

Step-1: Prime Factorization of 22010

Prime factors of 22010 are 2, 5, 31, 71. Prime factorization of 22010 in exponential form is:

22010 = 2¹ × 5¹ × 31¹ × 71¹

Step-2: Prime Factorization of 22030

Prime factors of 22030 are 2, 5, 2203. Prime factorization of 22030 in exponential form is:

22030 = 2¹ × 5¹ × 2203¹

Step-3: Factors of 22010

List of positive integer factors of 22010 that divides 22010 without a remainder.

1, 2, 5, 10, 31, 62, 71, 142, 155, 310, 355, 710, 2201, 4402, 11005

Step-4: Factors of 22030

List of positive integer factors of 22030 that divides 22010 without a remainder.

1, 2, 5, 10, 2203, 4406, 11015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22010 and 22030. The biggest common factor number is the GCF number.
So the greatest common factor 22010 and 22030 is 10.

Also check out the Least Common Multiple of 22010 and 22030