What is the Greatest Common Factor of 22790 and 22810?

Greatest common factor (GCF) of 22790 and 22810 is 10.

GCF(22790,22810) = 10

We will now calculate the prime factors of 22790 and 22810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22790 and 22810.

How to find the GCF of 22790 and 22810?

We will first find the prime factorization of 22790 and 22810. After we will calculate the factors of 22790 and 22810 and find the biggest common factor number .

Step-1: Prime Factorization of 22790

Prime factors of 22790 are 2, 5, 43, 53. Prime factorization of 22790 in exponential form is:

22790 = 2¹ × 5¹ × 43¹ × 53¹

Step-2: Prime Factorization of 22810

Prime factors of 22810 are 2, 5, 2281. Prime factorization of 22810 in exponential form is:

22810 = 2¹ × 5¹ × 2281¹

Step-3: Factors of 22790

List of positive integer factors of 22790 that divides 22790 without a remainder.

1, 2, 5, 10, 43, 53, 86, 106, 215, 265, 430, 530, 2279, 4558, 11395

Step-4: Factors of 22810

List of positive integer factors of 22810 that divides 22790 without a remainder.

1, 2, 5, 10, 2281, 4562, 11405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22790 and 22810. The biggest common factor number is the GCF number.
So the greatest common factor 22790 and 22810 is 10.

Also check out the Least Common Multiple of 22790 and 22810