What is the Greatest Common Factor of 22803 and 22814?

Greatest common factor (GCF) of 22803 and 22814 is 11.

GCF(22803,22814) = 11

We will now calculate the prime factors of 22803 and 22814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22803 and 22814.

How to find the GCF of 22803 and 22814?

We will first find the prime factorization of 22803 and 22814. After we will calculate the factors of 22803 and 22814 and find the biggest common factor number .

Step-1: Prime Factorization of 22803

Prime factors of 22803 are 3, 11, 691. Prime factorization of 22803 in exponential form is:

22803 = 3¹ × 11¹ × 691¹

Step-2: Prime Factorization of 22814

Prime factors of 22814 are 2, 11, 17, 61. Prime factorization of 22814 in exponential form is:

22814 = 2¹ × 11¹ × 17¹ × 61¹

Step-3: Factors of 22803

List of positive integer factors of 22803 that divides 22803 without a remainder.

1, 3, 11, 33, 691, 2073, 7601

Step-4: Factors of 22814

List of positive integer factors of 22814 that divides 22803 without a remainder.

1, 2, 11, 17, 22, 34, 61, 122, 187, 374, 671, 1037, 1342, 2074, 11407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22803 and 22814. The biggest common factor number is the GCF number.
So the greatest common factor 22803 and 22814 is 11.

Also check out the Least Common Multiple of 22803 and 22814