What is the Greatest Common Factor of 45006 and 45014?

Greatest common factor (GCF) of 45006 and 45014 is 2.

GCF(45006,45014) = 2

We will now calculate the prime factors of 45006 and 45014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45006 and 45014.

How to find the GCF of 45006 and 45014?

We will first find the prime factorization of 45006 and 45014. After we will calculate the factors of 45006 and 45014 and find the biggest common factor number .

Step-1: Prime Factorization of 45006

Prime factors of 45006 are 2, 3, 13, 577. Prime factorization of 45006 in exponential form is:

45006 = 2¹ × 3¹ × 13¹ × 577¹

Step-2: Prime Factorization of 45014

Prime factors of 45014 are 2, 71, 317. Prime factorization of 45014 in exponential form is:

45014 = 2¹ × 71¹ × 317¹

Step-3: Factors of 45006

List of positive integer factors of 45006 that divides 45006 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 577, 1154, 1731, 3462, 7501, 15002, 22503

Step-4: Factors of 45014

List of positive integer factors of 45014 that divides 45006 without a remainder.

1, 2, 71, 142, 317, 634, 22507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45006 and 45014. The biggest common factor number is the GCF number.
So the greatest common factor 45006 and 45014 is 2.

Also check out the Least Common Multiple of 45006 and 45014