What is the Greatest Common Factor of 10346 and 10360?

Greatest common factor (GCF) of 10346 and 10360 is 14.

GCF(10346,10360) = 14

We will now calculate the prime factors of 10346 and 10360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10346 and 10360.

How to find the GCF of 10346 and 10360?

We will first find the prime factorization of 10346 and 10360. After we will calculate the factors of 10346 and 10360 and find the biggest common factor number .

Step-1: Prime Factorization of 10346

Prime factors of 10346 are 2, 7, 739. Prime factorization of 10346 in exponential form is:

10346 = 2¹ × 7¹ × 739¹

Step-2: Prime Factorization of 10360

Prime factors of 10360 are 2, 5, 7, 37. Prime factorization of 10360 in exponential form is:

10360 = 2³ × 5¹ × 7¹ × 37¹

Step-3: Factors of 10346

List of positive integer factors of 10346 that divides 10346 without a remainder.

1, 2, 7, 14, 739, 1478, 5173

Step-4: Factors of 10360

List of positive integer factors of 10360 that divides 10346 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 37, 40, 56, 70, 74, 140, 148, 185, 259, 280, 296, 370, 518, 740, 1036, 1295, 1480, 2072, 2590, 5180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10346 and 10360. The biggest common factor number is the GCF number.
So the greatest common factor 10346 and 10360 is 14.

Also check out the Least Common Multiple of 10346 and 10360