What is the Greatest Common Factor of 23023 and 23034?

Greatest common factor (GCF) of 23023 and 23034 is 11.

GCF(23023,23034) = 11

We will now calculate the prime factors of 23023 and 23034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23023 and 23034.

How to find the GCF of 23023 and 23034?

We will first find the prime factorization of 23023 and 23034. After we will calculate the factors of 23023 and 23034 and find the biggest common factor number .

Step-1: Prime Factorization of 23023

Prime factors of 23023 are 7, 11, 13, 23. Prime factorization of 23023 in exponential form is:

23023 = 7¹ × 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 23034

Prime factors of 23034 are 2, 3, 11, 349. Prime factorization of 23034 in exponential form is:

23034 = 2¹ × 3¹ × 11¹ × 349¹

Step-3: Factors of 23023

List of positive integer factors of 23023 that divides 23023 without a remainder.

1, 7, 11, 13, 23, 77, 91, 143, 161, 253, 299, 1001, 1771, 2093, 3289

Step-4: Factors of 23034

List of positive integer factors of 23034 that divides 23023 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 349, 698, 1047, 2094, 3839, 7678, 11517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23023 and 23034. The biggest common factor number is the GCF number.
So the greatest common factor 23023 and 23034 is 11.

Also check out the Least Common Multiple of 23023 and 23034