What is the Greatest Common Factor of 36003 and 36014?

Greatest common factor (GCF) of 36003 and 36014 is 11.

GCF(36003,36014) = 11

We will now calculate the prime factors of 36003 and 36014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36003 and 36014.

How to find the GCF of 36003 and 36014?

We will first find the prime factorization of 36003 and 36014. After we will calculate the factors of 36003 and 36014 and find the biggest common factor number .

Step-1: Prime Factorization of 36003

Prime factors of 36003 are 3, 11, 1091. Prime factorization of 36003 in exponential form is:

36003 = 3¹ × 11¹ × 1091¹

Step-2: Prime Factorization of 36014

Prime factors of 36014 are 2, 11, 1637. Prime factorization of 36014 in exponential form is:

36014 = 2¹ × 11¹ × 1637¹

Step-3: Factors of 36003

List of positive integer factors of 36003 that divides 36003 without a remainder.

1, 3, 11, 33, 1091, 3273, 12001

Step-4: Factors of 36014

List of positive integer factors of 36014 that divides 36003 without a remainder.

1, 2, 11, 22, 1637, 3274, 18007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36003 and 36014. The biggest common factor number is the GCF number.
So the greatest common factor 36003 and 36014 is 11.

Also check out the Least Common Multiple of 36003 and 36014