What is the Greatest Common Factor of 12019 and 12036?

Greatest common factor (GCF) of 12019 and 12036 is 17.

GCF(12019,12036) = 17

We will now calculate the prime factors of 12019 and 12036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12019 and 12036.

How to find the GCF of 12019 and 12036?

We will first find the prime factorization of 12019 and 12036. After we will calculate the factors of 12019 and 12036 and find the biggest common factor number .

Step-1: Prime Factorization of 12019

Prime factors of 12019 are 7, 17, 101. Prime factorization of 12019 in exponential form is:

12019 = 7¹ × 17¹ × 101¹

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 12019

List of positive integer factors of 12019 that divides 12019 without a remainder.

1, 7, 17, 101, 119, 707, 1717

Step-4: Factors of 12036

List of positive integer factors of 12036 that divides 12019 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 12019 and 12036. The biggest common factor number is the GCF number.
So the greatest common factor 12019 and 12036 is 17.

Also check out the Least Common Multiple of 12019 and 12036