What is the Greatest Common Factor of 22986 and 23004?

Greatest common factor (GCF) of 22986 and 23004 is 18.

GCF(22986,23004) = 18

We will now calculate the prime factors of 22986 and 23004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22986 and 23004.

How to find the GCF of 22986 and 23004?

We will first find the prime factorization of 22986 and 23004. After we will calculate the factors of 22986 and 23004 and find the biggest common factor number .

Step-1: Prime Factorization of 22986

Prime factors of 22986 are 2, 3, 1277. Prime factorization of 22986 in exponential form is:

22986 = 2¹ × 3² × 1277¹

Step-2: Prime Factorization of 23004

Prime factors of 23004 are 2, 3, 71. Prime factorization of 23004 in exponential form is:

23004 = 2² × 3⁴ × 71¹

Step-3: Factors of 22986

List of positive integer factors of 22986 that divides 22986 without a remainder.

1, 2, 3, 6, 9, 18, 1277, 2554, 3831, 7662, 11493

Step-4: Factors of 23004

List of positive integer factors of 23004 that divides 22986 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 81, 108, 142, 162, 213, 284, 324, 426, 639, 852, 1278, 1917, 2556, 3834, 5751, 7668, 11502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22986 and 23004. The biggest common factor number is the GCF number.
So the greatest common factor 22986 and 23004 is 18.

Also check out the Least Common Multiple of 22986 and 23004