What is the Greatest Common Factor of 10348 and 10357?

Greatest common factor (GCF) of 10348 and 10357 is 1.

GCF(10348,10357) = 1

We will now calculate the prime factors of 10348 and 10357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10348 and 10357.

How to find the GCF of 10348 and 10357?

We will first find the prime factorization of 10348 and 10357. After we will calculate the factors of 10348 and 10357 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 10357

Prime factors of 10357 are 10357. Prime factorization of 10357 in exponential form is:

10357 = 10357¹

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 10357

List of positive integer factors of 10357 that divides 10348 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10348 and 10357. The biggest common factor number is the GCF number.
So the greatest common factor 10348 and 10357 is 1.

Also check out the Least Common Multiple of 10348 and 10357