What is the Greatest Common Factor of 22794 and 22810?

Greatest common factor (GCF) of 22794 and 22810 is 2.

GCF(22794,22810) = 2

We will now calculate the prime factors of 22794 and 22810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22794 and 22810.

How to find the GCF of 22794 and 22810?

We will first find the prime factorization of 22794 and 22810. After we will calculate the factors of 22794 and 22810 and find the biggest common factor number .

Step-1: Prime Factorization of 22794

Prime factors of 22794 are 2, 3, 29, 131. Prime factorization of 22794 in exponential form is:

22794 = 2¹ × 3¹ × 29¹ × 131¹

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 22794

List of positive integer factors of 22794 that divides 22794 without a remainder.

1, 2, 3, 6, 29, 58, 87, 131, 174, 262, 393, 786, 3799, 7598, 11397

Step-4: Factors of 22810

List of positive integer factors of 22810 that divides 22794 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22794 and 22810. The biggest common factor number is the GCF number.
So the greatest common factor 22794 and 22810 is 2.

Also check out the Least Common Multiple of 22794 and 22810