What is the Greatest Common Factor of 23076 and 23094?

Greatest common factor (GCF) of 23076 and 23094 is 18.

GCF(23076,23094) = 18

We will now calculate the prime factors of 23076 and 23094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23076 and 23094.

How to find the GCF of 23076 and 23094?

We will first find the prime factorization of 23076 and 23094. After we will calculate the factors of 23076 and 23094 and find the biggest common factor number .

Step-1: Prime Factorization of 23076

Prime factors of 23076 are 2, 3, 641. Prime factorization of 23076 in exponential form is:

23076 = 2² × 3² × 641¹

Step-2: Prime Factorization of 23094

Prime factors of 23094 are 2, 3, 1283. Prime factorization of 23094 in exponential form is:

23094 = 2¹ × 3² × 1283¹

Step-3: Factors of 23076

List of positive integer factors of 23076 that divides 23076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 641, 1282, 1923, 2564, 3846, 5769, 7692, 11538

Step-4: Factors of 23094

List of positive integer factors of 23094 that divides 23076 without a remainder.

1, 2, 3, 6, 9, 18, 1283, 2566, 3849, 7698, 11547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23076 and 23094. The biggest common factor number is the GCF number.
So the greatest common factor 23076 and 23094 is 18.

Also check out the Least Common Multiple of 23076 and 23094