What is the Greatest Common Factor of 47300 and 47320?

Greatest common factor (GCF) of 47300 and 47320 is 20.

GCF(47300,47320) = 20

We will now calculate the prime factors of 47300 and 47320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47300 and 47320.

How to find the GCF of 47300 and 47320?

We will first find the prime factorization of 47300 and 47320. After we will calculate the factors of 47300 and 47320 and find the biggest common factor number .

Step-1: Prime Factorization of 47300

Prime factors of 47300 are 2, 5, 11, 43. Prime factorization of 47300 in exponential form is:

47300 = 2² × 5² × 11¹ × 43¹

Step-2: 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-3: Factors of 47300

List of positive integer factors of 47300 that divides 47300 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 43, 44, 50, 55, 86, 100, 110, 172, 215, 220, 275, 430, 473, 550, 860, 946, 1075, 1100, 1892, 2150, 2365, 4300, 4730, 9460, 11825, 23650

Step-4: Factors of 47320

List of positive integer factors of 47320 that divides 47300 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47300 and 47320. The biggest common factor number is the GCF number.
So the greatest common factor 47300 and 47320 is 20.

Also check out the Least Common Multiple of 47300 and 47320