What is the Greatest Common Factor of 43890 and 43900?

Greatest common factor (GCF) of 43890 and 43900 is 10.

GCF(43890,43900) = 10

We will now calculate the prime factors of 43890 and 43900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43890 and 43900.

How to find the GCF of 43890 and 43900?

We will first find the prime factorization of 43890 and 43900. After we will calculate the factors of 43890 and 43900 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 43900

Prime factors of 43900 are 2, 5, 439. Prime factorization of 43900 in exponential form is:

43900 = 2² × 5² × 439¹

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 43900

List of positive integer factors of 43900 that divides 43890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 439, 878, 1756, 2195, 4390, 8780, 10975, 21950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43890 and 43900. The biggest common factor number is the GCF number.
So the greatest common factor 43890 and 43900 is 10.

Also check out the Least Common Multiple of 43890 and 43900