What is the Greatest Common Factor of 45014 and 45018?

Greatest common factor (GCF) of 45014 and 45018 is 2.

GCF(45014,45018) = 2

We will now calculate the prime factors of 45014 and 45018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45014 and 45018.

How to find the GCF of 45014 and 45018?

We will first find the prime factorization of 45014 and 45018. After we will calculate the factors of 45014 and 45018 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45018

Prime factors of 45018 are 2, 3, 41, 61. Prime factorization of 45018 in exponential form is:

45018 = 2¹ × 3² × 41¹ × 61¹

Step-3: Factors of 45014

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

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

Step-4: Factors of 45018

List of positive integer factors of 45018 that divides 45014 without a remainder.

1, 2, 3, 6, 9, 18, 41, 61, 82, 122, 123, 183, 246, 366, 369, 549, 738, 1098, 2501, 5002, 7503, 15006, 22509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45014 and 45018. The biggest common factor number is the GCF number.
So the greatest common factor 45014 and 45018 is 2.

Also check out the Least Common Multiple of 45014 and 45018