What is the Greatest Common Factor of 47265 and 47280?

Greatest common factor (GCF) of 47265 and 47280 is 15.

GCF(47265,47280) = 15

We will now calculate the prime factors of 47265 and 47280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47265 and 47280.

How to find the GCF of 47265 and 47280?

We will first find the prime factorization of 47265 and 47280. After we will calculate the factors of 47265 and 47280 and find the biggest common factor number .

Step-1: Prime Factorization of 47265

Prime factors of 47265 are 3, 5, 23, 137. Prime factorization of 47265 in exponential form is:

47265 = 3¹ × 5¹ × 23¹ × 137¹

Step-2: 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-3: Factors of 47265

List of positive integer factors of 47265 that divides 47265 without a remainder.

1, 3, 5, 15, 23, 69, 115, 137, 345, 411, 685, 2055, 3151, 9453, 15755

Step-4: Factors of 47280

List of positive integer factors of 47280 that divides 47265 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47265 and 47280. The biggest common factor number is the GCF number.
So the greatest common factor 47265 and 47280 is 15.

Also check out the Least Common Multiple of 47265 and 47280