What is the Greatest Common Factor of 12034 and 12045?

Greatest common factor (GCF) of 12034 and 12045 is 11.

GCF(12034,12045) = 11

We will now calculate the prime factors of 12034 and 12045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12034 and 12045.

How to find the GCF of 12034 and 12045?

We will first find the prime factorization of 12034 and 12045. After we will calculate the factors of 12034 and 12045 and find the biggest common factor number .

Step-1: Prime Factorization of 12034

Prime factors of 12034 are 2, 11, 547. Prime factorization of 12034 in exponential form is:

12034 = 2¹ × 11¹ × 547¹

Step-2: Prime Factorization of 12045

Prime factors of 12045 are 3, 5, 11, 73. Prime factorization of 12045 in exponential form is:

12045 = 3¹ × 5¹ × 11¹ × 73¹

Step-3: Factors of 12034

List of positive integer factors of 12034 that divides 12034 without a remainder.

1, 2, 11, 22, 547, 1094, 6017

Step-4: Factors of 12045

List of positive integer factors of 12045 that divides 12034 without a remainder.

1, 3, 5, 11, 15, 33, 55, 73, 165, 219, 365, 803, 1095, 2409, 4015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12034 and 12045. The biggest common factor number is the GCF number.
So the greatest common factor 12034 and 12045 is 11.

Also check out the Least Common Multiple of 12034 and 12045