What is the Greatest Common Factor of 45310 and 45324?

Greatest common factor (GCF) of 45310 and 45324 is 2.

GCF(45310,45324) = 2

We will now calculate the prime factors of 45310 and 45324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45310 and 45324.

How to find the GCF of 45310 and 45324?

We will first find the prime factorization of 45310 and 45324. After we will calculate the factors of 45310 and 45324 and find the biggest common factor number .

Step-1: Prime Factorization of 45310

Prime factors of 45310 are 2, 5, 23, 197. Prime factorization of 45310 in exponential form is:

45310 = 2¹ × 5¹ × 23¹ × 197¹

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 45310

List of positive integer factors of 45310 that divides 45310 without a remainder.

1, 2, 5, 10, 23, 46, 115, 197, 230, 394, 985, 1970, 4531, 9062, 22655

Step-4: Factors of 45324

List of positive integer factors of 45324 that divides 45310 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 45310 and 45324. The biggest common factor number is the GCF number.
So the greatest common factor 45310 and 45324 is 2.

Also check out the Least Common Multiple of 45310 and 45324