What is the Greatest Common Factor of 22797 and 22816?

Greatest common factor (GCF) of 22797 and 22816 is 1.

GCF(22797,22816) = 1

We will now calculate the prime factors of 22797 and 22816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22797 and 22816.

How to find the GCF of 22797 and 22816?

We will first find the prime factorization of 22797 and 22816. After we will calculate the factors of 22797 and 22816 and find the biggest common factor number .

Step-1: Prime Factorization of 22797

Prime factors of 22797 are 3, 17, 149. Prime factorization of 22797 in exponential form is:

22797 = 3² × 17¹ × 149¹

Step-2: Prime Factorization of 22816

Prime factors of 22816 are 2, 23, 31. Prime factorization of 22816 in exponential form is:

22816 = 2⁵ × 23¹ × 31¹

Step-3: Factors of 22797

List of positive integer factors of 22797 that divides 22797 without a remainder.

1, 3, 9, 17, 51, 149, 153, 447, 1341, 2533, 7599

Step-4: Factors of 22816

List of positive integer factors of 22816 that divides 22797 without a remainder.

1, 2, 4, 8, 16, 23, 31, 32, 46, 62, 92, 124, 184, 248, 368, 496, 713, 736, 992, 1426, 2852, 5704, 11408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22797 and 22816. The biggest common factor number is the GCF number.
So the greatest common factor 22797 and 22816 is 1.

Also check out the Least Common Multiple of 22797 and 22816