What is the Greatest Common Factor of 47022 and 47040?

Greatest common factor (GCF) of 47022 and 47040 is 6.

GCF(47022,47040) = 6

We will now calculate the prime factors of 47022 and 47040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47022 and 47040.

How to find the GCF of 47022 and 47040?

We will first find the prime factorization of 47022 and 47040. After we will calculate the factors of 47022 and 47040 and find the biggest common factor number .

Step-1: Prime Factorization of 47022

Prime factors of 47022 are 2, 3, 17, 461. Prime factorization of 47022 in exponential form is:

47022 = 2¹ × 3¹ × 17¹ × 461¹

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 47022

List of positive integer factors of 47022 that divides 47022 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 461, 922, 1383, 2766, 7837, 15674, 23511

Step-4: Factors of 47040

List of positive integer factors of 47040 that divides 47022 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 47022 and 47040. The biggest common factor number is the GCF number.
So the greatest common factor 47022 and 47040 is 6.

Also check out the Least Common Multiple of 47022 and 47040