What is the Greatest Common Factor of 10334 and 10338?

Greatest common factor (GCF) of 10334 and 10338 is 2.

GCF(10334,10338) = 2

We will now calculate the prime factors of 10334 and 10338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10334 and 10338.

How to find the GCF of 10334 and 10338?

We will first find the prime factorization of 10334 and 10338. After we will calculate the factors of 10334 and 10338 and find the biggest common factor number .

Step-1: Prime Factorization of 10334

Prime factors of 10334 are 2, 5167. Prime factorization of 10334 in exponential form is:

10334 = 2¹ × 5167¹

Step-2: Prime Factorization of 10338

Prime factors of 10338 are 2, 3, 1723. Prime factorization of 10338 in exponential form is:

10338 = 2¹ × 3¹ × 1723¹

Step-3: Factors of 10334

List of positive integer factors of 10334 that divides 10334 without a remainder.

1, 2, 5167

Step-4: Factors of 10338

List of positive integer factors of 10338 that divides 10334 without a remainder.

1, 2, 3, 6, 1723, 3446, 5169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10334 and 10338. The biggest common factor number is the GCF number.
So the greatest common factor 10334 and 10338 is 2.

Also check out the Least Common Multiple of 10334 and 10338