What is the Greatest Common Factor of 22984 and 22999?

Greatest common factor (GCF) of 22984 and 22999 is 1.

GCF(22984,22999) = 1

We will now calculate the prime factors of 22984 and 22999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22984 and 22999.

How to find the GCF of 22984 and 22999?

We will first find the prime factorization of 22984 and 22999. After we will calculate the factors of 22984 and 22999 and find the biggest common factor number .

Step-1: Prime Factorization of 22984

Prime factors of 22984 are 2, 13, 17. Prime factorization of 22984 in exponential form is:

22984 = 2³ × 13² × 17¹

Step-2: Prime Factorization of 22999

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

22999 = 109¹ × 211¹

Step-3: Factors of 22984

List of positive integer factors of 22984 that divides 22984 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 169, 221, 338, 442, 676, 884, 1352, 1768, 2873, 5746, 11492

Step-4: Factors of 22999

List of positive integer factors of 22999 that divides 22984 without a remainder.

1, 109, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22984 and 22999. The biggest common factor number is the GCF number.
So the greatest common factor 22984 and 22999 is 1.

Also check out the Least Common Multiple of 22984 and 22999