What is the Greatest Common Factor of 12029 and 12036?

Greatest common factor (GCF) of 12029 and 12036 is 1.

GCF(12029,12036) = 1

We will now calculate the prime factors of 12029 and 12036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12029 and 12036.

How to find the GCF of 12029 and 12036?

We will first find the prime factorization of 12029 and 12036. After we will calculate the factors of 12029 and 12036 and find the biggest common factor number .

Step-1: Prime Factorization of 12029

Prime factors of 12029 are 23, 523. Prime factorization of 12029 in exponential form is:

12029 = 23¹ × 523¹

Step-2: Prime Factorization of 12036

Prime factors of 12036 are 2, 3, 17, 59. Prime factorization of 12036 in exponential form is:

12036 = 2² × 3¹ × 17¹ × 59¹

Step-3: Factors of 12029

List of positive integer factors of 12029 that divides 12029 without a remainder.

1, 23, 523

Step-4: Factors of 12036

List of positive integer factors of 12036 that divides 12029 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 59, 68, 102, 118, 177, 204, 236, 354, 708, 1003, 2006, 3009, 4012, 6018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12029 and 12036. The biggest common factor number is the GCF number.
So the greatest common factor 12029 and 12036 is 1.

Also check out the Least Common Multiple of 12029 and 12036