What is the Greatest Common Factor of 45324 and 45342?

Greatest common factor (GCF) of 45324 and 45342 is 18.

GCF(45324,45342) = 18

We will now calculate the prime factors of 45324 and 45342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45324 and 45342.

How to find the GCF of 45324 and 45342?

We will first find the prime factorization of 45324 and 45342. After we will calculate the factors of 45324 and 45342 and find the biggest common factor number .

Step-1: Prime Factorization of 45324

Prime factors of 45324 are 2, 3, 1259. Prime factorization of 45324 in exponential form is:

45324 = 2² × 3² × 1259¹

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 45324

List of positive integer factors of 45324 that divides 45324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1259, 2518, 3777, 5036, 7554, 11331, 15108, 22662

Step-4: Factors of 45342

List of positive integer factors of 45342 that divides 45324 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 45324 and 45342. The biggest common factor number is the GCF number.
So the greatest common factor 45324 and 45342 is 18.

Also check out the Least Common Multiple of 45324 and 45342