What is the Greatest Common Factor of 47040 and 47060?

Greatest common factor (GCF) of 47040 and 47060 is 20.

GCF(47040,47060) = 20

We will now calculate the prime factors of 47040 and 47060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47040 and 47060.

How to find the GCF of 47040 and 47060?

We will first find the prime factorization of 47040 and 47060. After we will calculate the factors of 47040 and 47060 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 47060

Prime factors of 47060 are 2, 5, 13, 181. Prime factorization of 47060 in exponential form is:

47060 = 2² × 5¹ × 13¹ × 181¹

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 47060

List of positive integer factors of 47060 that divides 47040 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 181, 260, 362, 724, 905, 1810, 2353, 3620, 4706, 9412, 11765, 23530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47040 and 47060. The biggest common factor number is the GCF number.
So the greatest common factor 47040 and 47060 is 20.

Also check out the Least Common Multiple of 47040 and 47060