What is the Greatest Common Factor of 10348 and 10366?

Greatest common factor (GCF) of 10348 and 10366 is 2.

GCF(10348,10366) = 2

We will now calculate the prime factors of 10348 and 10366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10348 and 10366.

How to find the GCF of 10348 and 10366?

We will first find the prime factorization of 10348 and 10366. After we will calculate the factors of 10348 and 10366 and find the biggest common factor number .

Step-1: Prime Factorization of 10348

Prime factors of 10348 are 2, 13, 199. Prime factorization of 10348 in exponential form is:

10348 = 2² × 13¹ × 199¹

Step-2: Prime Factorization of 10366

Prime factors of 10366 are 2, 71, 73. Prime factorization of 10366 in exponential form is:

10366 = 2¹ × 71¹ × 73¹

Step-3: Factors of 10348

List of positive integer factors of 10348 that divides 10348 without a remainder.

1, 2, 4, 13, 26, 52, 199, 398, 796, 2587, 5174

Step-4: Factors of 10366

List of positive integer factors of 10366 that divides 10348 without a remainder.

1, 2, 71, 73, 142, 146, 5183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10348 and 10366. The biggest common factor number is the GCF number.
So the greatest common factor 10348 and 10366 is 2.

Also check out the Least Common Multiple of 10348 and 10366