What is the Greatest Common Factor of 45338 and 45342?

Greatest common factor (GCF) of 45338 and 45342 is 2.

GCF(45338,45342) = 2

We will now calculate the prime factors of 45338 and 45342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45338 and 45342.

How to find the GCF of 45338 and 45342?

We will first find the prime factorization of 45338 and 45342. After we will calculate the factors of 45338 and 45342 and find the biggest common factor number .

Step-1: Prime Factorization of 45338

Prime factors of 45338 are 2, 22669. Prime factorization of 45338 in exponential form is:

45338 = 2¹ × 22669¹

Step-2: Prime Factorization of 45342

Prime factors of 45342 are 2, 3, 11, 229. Prime factorization of 45342 in exponential form is:

45342 = 2¹ × 3² × 11¹ × 229¹

Step-3: Factors of 45338

List of positive integer factors of 45338 that divides 45338 without a remainder.

1, 2, 22669

Step-4: Factors of 45342

List of positive integer factors of 45342 that divides 45338 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 229, 458, 687, 1374, 2061, 2519, 4122, 5038, 7557, 15114, 22671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45338 and 45342. The biggest common factor number is the GCF number.
So the greatest common factor 45338 and 45342 is 2.

Also check out the Least Common Multiple of 45338 and 45342