What is the Greatest Common Factor of 47280 and 47300?

Greatest common factor (GCF) of 47280 and 47300 is 20.

GCF(47280,47300) = 20

We will now calculate the prime factors of 47280 and 47300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47280 and 47300.

How to find the GCF of 47280 and 47300?

We will first find the prime factorization of 47280 and 47300. After we will calculate the factors of 47280 and 47300 and find the biggest common factor number .

Step-1: Prime Factorization of 47280

Prime factors of 47280 are 2, 3, 5, 197. Prime factorization of 47280 in exponential form is:

47280 = 2⁴ × 3¹ × 5¹ × 197¹

Step-2: 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-3: Factors of 47280

List of positive integer factors of 47280 that divides 47280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 197, 240, 394, 591, 788, 985, 1182, 1576, 1970, 2364, 2955, 3152, 3940, 4728, 5910, 7880, 9456, 11820, 15760, 23640

Step-4: Factors of 47300

List of positive integer factors of 47300 that divides 47280 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47280 and 47300. The biggest common factor number is the GCF number.
So the greatest common factor 47280 and 47300 is 20.

Also check out the Least Common Multiple of 47280 and 47300