What is the Greatest Common Factor of 45324 and 45344?

Greatest common factor (GCF) of 45324 and 45344 is 4.

GCF(45324,45344) = 4

We will now calculate the prime factors of 45324 and 45344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45324 and 45344.

How to find the GCF of 45324 and 45344?

We will first find the prime factorization of 45324 and 45344. After we will calculate the factors of 45324 and 45344 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 45344

Prime factors of 45344 are 2, 13, 109. Prime factorization of 45344 in exponential form is:

45344 = 2⁵ × 13¹ × 109¹

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 45344

List of positive integer factors of 45344 that divides 45324 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 109, 208, 218, 416, 436, 872, 1417, 1744, 2834, 3488, 5668, 11336, 22672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45324 and 45344. The biggest common factor number is the GCF number.
So the greatest common factor 45324 and 45344 is 4.

Also check out the Least Common Multiple of 45324 and 45344