What is the Greatest Common Factor of 20324 and 20330?

Greatest common factor (GCF) of 20324 and 20330 is 2.

GCF(20324,20330) = 2

We will now calculate the prime factors of 20324 and 20330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20324 and 20330.

How to find the GCF of 20324 and 20330?

We will first find the prime factorization of 20324 and 20330. After we will calculate the factors of 20324 and 20330 and find the biggest common factor number .

Step-1: Prime Factorization of 20324

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

20324 = 2² × 5081¹

Step-2: Prime Factorization of 20330

Prime factors of 20330 are 2, 5, 19, 107. Prime factorization of 20330 in exponential form is:

20330 = 2¹ × 5¹ × 19¹ × 107¹

Step-3: Factors of 20324

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

1, 2, 4, 5081, 10162

Step-4: Factors of 20330

List of positive integer factors of 20330 that divides 20324 without a remainder.

1, 2, 5, 10, 19, 38, 95, 107, 190, 214, 535, 1070, 2033, 4066, 10165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20324 and 20330. The biggest common factor number is the GCF number.
So the greatest common factor 20324 and 20330 is 2.

Also check out the Least Common Multiple of 20324 and 20330