What is the Greatest Common Factor of 22999 and 23008?

Greatest common factor (GCF) of 22999 and 23008 is 1.

GCF(22999,23008) = 1

We will now calculate the prime factors of 22999 and 23008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22999 and 23008.

How to find the GCF of 22999 and 23008?

We will first find the prime factorization of 22999 and 23008. After we will calculate the factors of 22999 and 23008 and find the biggest common factor number .

Step-1: Prime Factorization of 22999

Prime factors of 22999 are 109, 211. Prime factorization of 22999 in exponential form is:

22999 = 109¹ × 211¹

Step-2: Prime Factorization of 23008

Prime factors of 23008 are 2, 719. Prime factorization of 23008 in exponential form is:

23008 = 2⁵ × 719¹

Step-3: Factors of 22999

List of positive integer factors of 22999 that divides 22999 without a remainder.

1, 109, 211

Step-4: Factors of 23008

List of positive integer factors of 23008 that divides 22999 without a remainder.

1, 2, 4, 8, 16, 32, 719, 1438, 2876, 5752, 11504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22999 and 23008. The biggest common factor number is the GCF number.
So the greatest common factor 22999 and 23008 is 1.

Also check out the Least Common Multiple of 22999 and 23008