What is the Greatest Common Factor of 47320 and 47340?

Greatest common factor (GCF) of 47320 and 47340 is 20.

GCF(47320,47340) = 20

We will now calculate the prime factors of 47320 and 47340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47320 and 47340.

How to find the GCF of 47320 and 47340?

We will first find the prime factorization of 47320 and 47340. After we will calculate the factors of 47320 and 47340 and find the biggest common factor number .

Step-1: Prime Factorization of 47320

Prime factors of 47320 are 2, 5, 7, 13. Prime factorization of 47320 in exponential form is:

47320 = 2³ × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 47340

Prime factors of 47340 are 2, 3, 5, 263. Prime factorization of 47340 in exponential form is:

47340 = 2² × 3² × 5¹ × 263¹

Step-3: Factors of 47320

List of positive integer factors of 47320 that divides 47320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 169, 182, 260, 280, 338, 364, 455, 520, 676, 728, 845, 910, 1183, 1352, 1690, 1820, 2366, 3380, 3640, 4732, 5915, 6760, 9464, 11830, 23660

Step-4: Factors of 47340

List of positive integer factors of 47340 that divides 47320 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 263, 526, 789, 1052, 1315, 1578, 2367, 2630, 3156, 3945, 4734, 5260, 7890, 9468, 11835, 15780, 23670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47320 and 47340. The biggest common factor number is the GCF number.
So the greatest common factor 47320 and 47340 is 20.

Also check out the Least Common Multiple of 47320 and 47340