What is the Greatest Common Factor of 47280 and 47284?

Greatest common factor (GCF) of 47280 and 47284 is 4.

GCF(47280,47284) = 4

We will now calculate the prime factors of 47280 and 47284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47280 and 47284.

How to find the GCF of 47280 and 47284?

We will first find the prime factorization of 47280 and 47284. After we will calculate the factors of 47280 and 47284 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 47284

Prime factors of 47284 are 2, 11821. Prime factorization of 47284 in exponential form is:

47284 = 2² × 11821¹

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 47284

List of positive integer factors of 47284 that divides 47280 without a remainder.

1, 2, 4, 11821, 23642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47280 and 47284. The biggest common factor number is the GCF number.
So the greatest common factor 47280 and 47284 is 4.

Also check out the Least Common Multiple of 47280 and 47284