What is the Greatest Common Factor of 10340 and 10354?

Greatest common factor (GCF) of 10340 and 10354 is 2.

GCF(10340,10354) = 2

We will now calculate the prime factors of 10340 and 10354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10340 and 10354.

How to find the GCF of 10340 and 10354?

We will first find the prime factorization of 10340 and 10354. After we will calculate the factors of 10340 and 10354 and find the biggest common factor number .

Step-1: Prime Factorization of 10340

Prime factors of 10340 are 2, 5, 11, 47. Prime factorization of 10340 in exponential form is:

10340 = 2² × 5¹ × 11¹ × 47¹

Step-2: Prime Factorization of 10354

Prime factors of 10354 are 2, 31, 167. Prime factorization of 10354 in exponential form is:

10354 = 2¹ × 31¹ × 167¹

Step-3: Factors of 10340

List of positive integer factors of 10340 that divides 10340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 47, 55, 94, 110, 188, 220, 235, 470, 517, 940, 1034, 2068, 2585, 5170

Step-4: Factors of 10354

List of positive integer factors of 10354 that divides 10340 without a remainder.

1, 2, 31, 62, 167, 334, 5177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10340 and 10354. The biggest common factor number is the GCF number.
So the greatest common factor 10340 and 10354 is 2.

Also check out the Least Common Multiple of 10340 and 10354