What is the Greatest Common Factor of 22803 and 22822?

Greatest common factor (GCF) of 22803 and 22822 is 1.

GCF(22803,22822) = 1

We will now calculate the prime factors of 22803 and 22822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22803 and 22822.

How to find the GCF of 22803 and 22822?

We will first find the prime factorization of 22803 and 22822. After we will calculate the factors of 22803 and 22822 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 22822

Prime factors of 22822 are 2, 11411. Prime factorization of 22822 in exponential form is:

22822 = 2¹ × 11411¹

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 22822

List of positive integer factors of 22822 that divides 22803 without a remainder.

1, 2, 11411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22803 and 22822. The biggest common factor number is the GCF number.
So the greatest common factor 22803 and 22822 is 1.

Also check out the Least Common Multiple of 22803 and 22822