What is the Greatest Common Factor of 20314 and 20318?

Greatest common factor (GCF) of 20314 and 20318 is 2.

GCF(20314,20318) = 2

We will now calculate the prime factors of 20314 and 20318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20314 and 20318.

How to find the GCF of 20314 and 20318?

We will first find the prime factorization of 20314 and 20318. After we will calculate the factors of 20314 and 20318 and find the biggest common factor number .

Step-1: Prime Factorization of 20314

Prime factors of 20314 are 2, 7, 1451. Prime factorization of 20314 in exponential form is:

20314 = 2¹ × 7¹ × 1451¹

Step-2: Prime Factorization of 20318

Prime factors of 20318 are 2, 10159. Prime factorization of 20318 in exponential form is:

20318 = 2¹ × 10159¹

Step-3: Factors of 20314

List of positive integer factors of 20314 that divides 20314 without a remainder.

1, 2, 7, 14, 1451, 2902, 10157

Step-4: Factors of 20318

List of positive integer factors of 20318 that divides 20314 without a remainder.

1, 2, 10159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20314 and 20318. The biggest common factor number is the GCF number.
So the greatest common factor 20314 and 20318 is 2.

Also check out the Least Common Multiple of 20314 and 20318