What is the Greatest Common Factor of 47040 and 47055?

Greatest common factor (GCF) of 47040 and 47055 is 15.

GCF(47040,47055) = 15

We will now calculate the prime factors of 47040 and 47055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47040 and 47055.

How to find the GCF of 47040 and 47055?

We will first find the prime factorization of 47040 and 47055. After we will calculate the factors of 47040 and 47055 and find the biggest common factor number .

Step-1: Prime Factorization of 47040

Prime factors of 47040 are 2, 3, 5, 7. Prime factorization of 47040 in exponential form is:

47040 = 2⁶ × 3¹ × 5¹ × 7²

Step-2: Prime Factorization of 47055

Prime factors of 47055 are 3, 5, 3137. Prime factorization of 47055 in exponential form is:

47055 = 3¹ × 5¹ × 3137¹

Step-3: Factors of 47040

List of positive integer factors of 47040 that divides 47040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 49, 56, 60, 64, 70, 80, 84, 96, 98, 105, 112, 120, 140, 147, 160, 168, 192, 196, 210, 224, 240, 245, 280, 294, 320, 336, 392, 420, 448, 480, 490, 560, 588, 672, 735, 784, 840, 960, 980, 1120, 1176, 1344, 1470, 1568, 1680, 1960, 2240, 2352, 2940, 3136, 3360, 3920, 4704, 5880, 6720, 7840, 9408, 11760, 15680, 23520

Step-4: Factors of 47055

List of positive integer factors of 47055 that divides 47040 without a remainder.

1, 3, 5, 15, 3137, 9411, 15685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47040 and 47055. The biggest common factor number is the GCF number.
So the greatest common factor 47040 and 47055 is 15.

Also check out the Least Common Multiple of 47040 and 47055