What is the Greatest Common Factor of 43890 and 43905?

Greatest common factor (GCF) of 43890 and 43905 is 15.

GCF(43890,43905) = 15

We will now calculate the prime factors of 43890 and 43905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43890 and 43905.

How to find the GCF of 43890 and 43905?

We will first find the prime factorization of 43890 and 43905. After we will calculate the factors of 43890 and 43905 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 43905

Prime factors of 43905 are 3, 5, 2927. Prime factorization of 43905 in exponential form is:

43905 = 3¹ × 5¹ × 2927¹

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 43905

List of positive integer factors of 43905 that divides 43890 without a remainder.

1, 3, 5, 15, 2927, 8781, 14635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43890 and 43905. The biggest common factor number is the GCF number.
So the greatest common factor 43890 and 43905 is 15.

Also check out the Least Common Multiple of 43890 and 43905