What is the Greatest Common Factor of 43890 and 43904?

Greatest common factor (GCF) of 43890 and 43904 is 14.

GCF(43890,43904) = 14

We will now calculate the prime factors of 43890 and 43904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43890 and 43904.

How to find the GCF of 43890 and 43904?

We will first find the prime factorization of 43890 and 43904. After we will calculate the factors of 43890 and 43904 and find the biggest common factor number .

Step-1: Prime Factorization of 43890

Prime factors of 43890 are 2, 3, 5, 7, 11, 19. Prime factorization of 43890 in exponential form is:

43890 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 43904

Prime factors of 43904 are 2, 7. Prime factorization of 43904 in exponential form is:

43904 = 2⁷ × 7³

Step-3: Factors of 43890

List of positive integer factors of 43890 that divides 43890 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 19, 21, 22, 30, 33, 35, 38, 42, 55, 57, 66, 70, 77, 95, 105, 110, 114, 133, 154, 165, 190, 209, 210, 231, 266, 285, 330, 385, 399, 418, 462, 570, 627, 665, 770, 798, 1045, 1155, 1254, 1330, 1463, 1995, 2090, 2310, 2926, 3135, 3990, 4389, 6270, 7315, 8778, 14630, 21945

Step-4: Factors of 43904

List of positive integer factors of 43904 that divides 43890 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 343, 392, 448, 686, 784, 896, 1372, 1568, 2744, 3136, 5488, 6272, 10976, 21952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43890 and 43904. The biggest common factor number is the GCF number.
So the greatest common factor 43890 and 43904 is 14.

Also check out the Least Common Multiple of 43890 and 43904