What is the Greatest Common Factor of 22969 and 22984?

Greatest common factor (GCF) of 22969 and 22984 is 1.

GCF(22969,22984) = 1

We will now calculate the prime factors of 22969 and 22984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22969 and 22984.

How to find the GCF of 22969 and 22984?

We will first find the prime factorization of 22969 and 22984. After we will calculate the factors of 22969 and 22984 and find the biggest common factor number .

Step-1: Prime Factorization of 22969

Prime factors of 22969 are 103, 223. Prime factorization of 22969 in exponential form is:

22969 = 103¹ × 223¹

Step-2: 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-3: Factors of 22969

List of positive integer factors of 22969 that divides 22969 without a remainder.

1, 103, 223

Step-4: Factors of 22984

List of positive integer factors of 22984 that divides 22969 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22969 and 22984. The biggest common factor number is the GCF number.
So the greatest common factor 22969 and 22984 is 1.

Also check out the Least Common Multiple of 22969 and 22984