What is the Greatest Common Factor of 22977 and 22983?

Greatest common factor (GCF) of 22977 and 22983 is 3.

GCF(22977,22983) = 3

We will now calculate the prime factors of 22977 and 22983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22977 and 22983.

How to find the GCF of 22977 and 22983?

We will first find the prime factorization of 22977 and 22983. After we will calculate the factors of 22977 and 22983 and find the biggest common factor number .

Step-1: Prime Factorization of 22977

Prime factors of 22977 are 3, 23, 37. Prime factorization of 22977 in exponential form is:

22977 = 3³ × 23¹ × 37¹

Step-2: 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-3: Factors of 22977

List of positive integer factors of 22977 that divides 22977 without a remainder.

1, 3, 9, 23, 27, 37, 69, 111, 207, 333, 621, 851, 999, 2553, 7659

Step-4: Factors of 22983

List of positive integer factors of 22983 that divides 22977 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22977 and 22983. The biggest common factor number is the GCF number.
So the greatest common factor 22977 and 22983 is 3.

Also check out the Least Common Multiple of 22977 and 22983