What is the Greatest Common Factor of 22967 and 22984?

Greatest common factor (GCF) of 22967 and 22984 is 17.

GCF(22967,22984) = 17

We will now calculate the prime factors of 22967 and 22984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22967 and 22984.

How to find the GCF of 22967 and 22984?

We will first find the prime factorization of 22967 and 22984. After we will calculate the factors of 22967 and 22984 and find the biggest common factor number .

Step-1: Prime Factorization of 22967

Prime factors of 22967 are 7, 17, 193. Prime factorization of 22967 in exponential form is:

22967 = 7¹ × 17¹ × 193¹

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 22967

List of positive integer factors of 22967 that divides 22967 without a remainder.

1, 7, 17, 119, 193, 1351, 3281

Step-4: Factors of 22984

List of positive integer factors of 22984 that divides 22967 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 22967 and 22984. The biggest common factor number is the GCF number.
So the greatest common factor 22967 and 22984 is 17.

Also check out the Least Common Multiple of 22967 and 22984