What is the Greatest Common Factor of 45309 and 45324?

Greatest common factor (GCF) of 45309 and 45324 is 3.

GCF(45309,45324) = 3

We will now calculate the prime factors of 45309 and 45324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45309 and 45324.

How to find the GCF of 45309 and 45324?

We will first find the prime factorization of 45309 and 45324. After we will calculate the factors of 45309 and 45324 and find the biggest common factor number .

Step-1: Prime Factorization of 45309

Prime factors of 45309 are 3, 11, 1373. Prime factorization of 45309 in exponential form is:

45309 = 3¹ × 11¹ × 1373¹

Step-2: 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-3: Factors of 45309

List of positive integer factors of 45309 that divides 45309 without a remainder.

1, 3, 11, 33, 1373, 4119, 15103

Step-4: Factors of 45324

List of positive integer factors of 45324 that divides 45309 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45309 and 45324. The biggest common factor number is the GCF number.
So the greatest common factor 45309 and 45324 is 3.

Also check out the Least Common Multiple of 45309 and 45324