What is the Greatest Common Factor of 20314 and 20332?

Greatest common factor (GCF) of 20314 and 20332 is 2.

GCF(20314,20332) = 2

We will now calculate the prime factors of 20314 and 20332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20314 and 20332.

How to find the GCF of 20314 and 20332?

We will first find the prime factorization of 20314 and 20332. After we will calculate the factors of 20314 and 20332 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 20332

Prime factors of 20332 are 2, 13, 17, 23. Prime factorization of 20332 in exponential form is:

20332 = 2² × 13¹ × 17¹ × 23¹

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 20332

List of positive integer factors of 20332 that divides 20314 without a remainder.

1, 2, 4, 13, 17, 23, 26, 34, 46, 52, 68, 92, 221, 299, 391, 442, 598, 782, 884, 1196, 1564, 5083, 10166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20314 and 20332. The biggest common factor number is the GCF number.
So the greatest common factor 20314 and 20332 is 2.

Also check out the Least Common Multiple of 20314 and 20332