What is the Greatest Common Factor of 20364 and 20374?

Greatest common factor (GCF) of 20364 and 20374 is 2.

GCF(20364,20374) = 2

We will now calculate the prime factors of 20364 and 20374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20364 and 20374.

How to find the GCF of 20364 and 20374?

We will first find the prime factorization of 20364 and 20374. After we will calculate the factors of 20364 and 20374 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 20374

Prime factors of 20374 are 2, 61, 167. Prime factorization of 20374 in exponential form is:

20374 = 2¹ × 61¹ × 167¹

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 20374

List of positive integer factors of 20374 that divides 20364 without a remainder.

1, 2, 61, 122, 167, 334, 10187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20364 and 20374. The biggest common factor number is the GCF number.
So the greatest common factor 20364 and 20374 is 2.

Also check out the Least Common Multiple of 20364 and 20374