What is the Greatest Common Factor of 23034 and 23045?

Greatest common factor (GCF) of 23034 and 23045 is 11.

GCF(23034,23045) = 11

We will now calculate the prime factors of 23034 and 23045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23034 and 23045.

How to find the GCF of 23034 and 23045?

We will first find the prime factorization of 23034 and 23045. After we will calculate the factors of 23034 and 23045 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23045

Prime factors of 23045 are 5, 11, 419. Prime factorization of 23045 in exponential form is:

23045 = 5¹ × 11¹ × 419¹

Step-3: Factors of 23034

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

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

Step-4: Factors of 23045

List of positive integer factors of 23045 that divides 23034 without a remainder.

1, 5, 11, 55, 419, 2095, 4609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23034 and 23045. The biggest common factor number is the GCF number.
So the greatest common factor 23034 and 23045 is 11.

Also check out the Least Common Multiple of 23034 and 23045