What is the Greatest Common Factor of 10320 and 10340?

Greatest common factor (GCF) of 10320 and 10340 is 20.

GCF(10320,10340) = 20

We will now calculate the prime factors of 10320 and 10340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10320 and 10340.

How to find the GCF of 10320 and 10340?

We will first find the prime factorization of 10320 and 10340. After we will calculate the factors of 10320 and 10340 and find the biggest common factor number .

Step-1: Prime Factorization of 10320

Prime factors of 10320 are 2, 3, 5, 43. Prime factorization of 10320 in exponential form is:

10320 = 2⁴ × 3¹ × 5¹ × 43¹

Step-2: 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-3: Factors of 10320

List of positive integer factors of 10320 that divides 10320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160

Step-4: Factors of 10340

List of positive integer factors of 10340 that divides 10320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10320 and 10340. The biggest common factor number is the GCF number.
So the greatest common factor 10320 and 10340 is 20.

Also check out the Least Common Multiple of 10320 and 10340