What is the Greatest Common Factor of 22801 and 22816?

Greatest common factor (GCF) of 22801 and 22816 is 1.

GCF(22801,22816) = 1

We will now calculate the prime factors of 22801 and 22816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22801 and 22816.

How to find the GCF of 22801 and 22816?

We will first find the prime factorization of 22801 and 22816. After we will calculate the factors of 22801 and 22816 and find the biggest common factor number .

Step-1: Prime Factorization of 22801

Prime factors of 22801 are 151. Prime factorization of 22801 in exponential form is:

22801 = 151²

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 22801

List of positive integer factors of 22801 that divides 22801 without a remainder.

1, 151

Step-4: Factors of 22816

List of positive integer factors of 22816 that divides 22801 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 22801 and 22816. The biggest common factor number is the GCF number.
So the greatest common factor 22801 and 22816 is 1.

Also check out the Least Common Multiple of 22801 and 22816