What is the Greatest Common Factor of 47031 and 47040?

Greatest common factor (GCF) of 47031 and 47040 is 3.

GCF(47031,47040) = 3

We will now calculate the prime factors of 47031 and 47040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47031 and 47040.

How to find the GCF of 47031 and 47040?

We will first find the prime factorization of 47031 and 47040. After we will calculate the factors of 47031 and 47040 and find the biggest common factor number .

Step-1: Prime Factorization of 47031

Prime factors of 47031 are 3, 61, 257. Prime factorization of 47031 in exponential form is:

47031 = 3¹ × 61¹ × 257¹

Step-2: 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-3: Factors of 47031

List of positive integer factors of 47031 that divides 47031 without a remainder.

1, 3, 61, 183, 257, 771, 15677

Step-4: Factors of 47040

List of positive integer factors of 47040 that divides 47031 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47031 and 47040. The biggest common factor number is the GCF number.
So the greatest common factor 47031 and 47040 is 3.

Also check out the Least Common Multiple of 47031 and 47040