What is the Greatest Common Factor of 47280 and 47288?

Greatest common factor (GCF) of 47280 and 47288 is 8.

GCF(47280,47288) = 8

We will now calculate the prime factors of 47280 and 47288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47280 and 47288.

How to find the GCF of 47280 and 47288?

We will first find the prime factorization of 47280 and 47288. After we will calculate the factors of 47280 and 47288 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 47288

Prime factors of 47288 are 2, 23, 257. Prime factorization of 47288 in exponential form is:

47288 = 2³ × 23¹ × 257¹

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 47288

List of positive integer factors of 47288 that divides 47280 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 257, 514, 1028, 2056, 5911, 11822, 23644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47280 and 47288. The biggest common factor number is the GCF number.
So the greatest common factor 47280 and 47288 is 8.

Also check out the Least Common Multiple of 47280 and 47288