What is the Greatest Common Factor of 45014 and 45032?

Greatest common factor (GCF) of 45014 and 45032 is 2.

GCF(45014,45032) = 2

We will now calculate the prime factors of 45014 and 45032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45014 and 45032.

How to find the GCF of 45014 and 45032?

We will first find the prime factorization of 45014 and 45032. After we will calculate the factors of 45014 and 45032 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 45032

Prime factors of 45032 are 2, 13, 433. Prime factorization of 45032 in exponential form is:

45032 = 2³ × 13¹ × 433¹

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 45032

List of positive integer factors of 45032 that divides 45014 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 433, 866, 1732, 3464, 5629, 11258, 22516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45014 and 45032. The biggest common factor number is the GCF number.
So the greatest common factor 45014 and 45032 is 2.

Also check out the Least Common Multiple of 45014 and 45032