What is the Greatest Common Factor of 20310 and 20324?

Greatest common factor (GCF) of 20310 and 20324 is 2.

GCF(20310,20324) = 2

We will now calculate the prime factors of 20310 and 20324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20310 and 20324.

How to find the GCF of 20310 and 20324?

We will first find the prime factorization of 20310 and 20324. After we will calculate the factors of 20310 and 20324 and find the biggest common factor number .

Step-1: Prime Factorization of 20310

Prime factors of 20310 are 2, 3, 5, 677. Prime factorization of 20310 in exponential form is:

20310 = 2¹ × 3¹ × 5¹ × 677¹

Step-2: Prime Factorization of 20324

Prime factors of 20324 are 2, 5081. Prime factorization of 20324 in exponential form is:

20324 = 2² × 5081¹

Step-3: Factors of 20310

List of positive integer factors of 20310 that divides 20310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 677, 1354, 2031, 3385, 4062, 6770, 10155

Step-4: Factors of 20324

List of positive integer factors of 20324 that divides 20310 without a remainder.

1, 2, 4, 5081, 10162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20310 and 20324. The biggest common factor number is the GCF number.
So the greatest common factor 20310 and 20324 is 2.

Also check out the Least Common Multiple of 20310 and 20324