What is the Greatest Common Factor of 20364 and 20378?

Greatest common factor (GCF) of 20364 and 20378 is 2.

GCF(20364,20378) = 2

We will now calculate the prime factors of 20364 and 20378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20364 and 20378.

How to find the GCF of 20364 and 20378?

We will first find the prime factorization of 20364 and 20378. After we will calculate the factors of 20364 and 20378 and find the biggest common factor number .

Step-1: Prime Factorization of 20364

Prime factors of 20364 are 2, 3, 1697. Prime factorization of 20364 in exponential form is:

20364 = 2² × 3¹ × 1697¹

Step-2: Prime Factorization of 20378

Prime factors of 20378 are 2, 23, 443. Prime factorization of 20378 in exponential form is:

20378 = 2¹ × 23¹ × 443¹

Step-3: Factors of 20364

List of positive integer factors of 20364 that divides 20364 without a remainder.

1, 2, 3, 4, 6, 12, 1697, 3394, 5091, 6788, 10182

Step-4: Factors of 20378

List of positive integer factors of 20378 that divides 20364 without a remainder.

1, 2, 23, 46, 443, 886, 10189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20364 and 20378. The biggest common factor number is the GCF number.
So the greatest common factor 20364 and 20378 is 2.

Also check out the Least Common Multiple of 20364 and 20378