What is the Greatest Common Factor of 22983 and 23001?

Greatest common factor (GCF) of 22983 and 23001 is 3.

GCF(22983,23001) = 3

We will now calculate the prime factors of 22983 and 23001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22983 and 23001.

How to find the GCF of 22983 and 23001?

We will first find the prime factorization of 22983 and 23001. After we will calculate the factors of 22983 and 23001 and find the biggest common factor number .

Step-1: Prime Factorization of 22983

Prime factors of 22983 are 3, 47, 163. Prime factorization of 22983 in exponential form is:

22983 = 3¹ × 47¹ × 163¹

Step-2: Prime Factorization of 23001

Prime factors of 23001 are 3, 11, 17, 41. Prime factorization of 23001 in exponential form is:

23001 = 3¹ × 11¹ × 17¹ × 41¹

Step-3: Factors of 22983

List of positive integer factors of 22983 that divides 22983 without a remainder.

1, 3, 47, 141, 163, 489, 7661

Step-4: Factors of 23001

List of positive integer factors of 23001 that divides 22983 without a remainder.

1, 3, 11, 17, 33, 41, 51, 123, 187, 451, 561, 697, 1353, 2091, 7667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22983 and 23001. The biggest common factor number is the GCF number.
So the greatest common factor 22983 and 23001 is 3.

Also check out the Least Common Multiple of 22983 and 23001