What is the Greatest Common Factor of 43890 and 43898?

Greatest common factor (GCF) of 43890 and 43898 is 2.

GCF(43890,43898) = 2

We will now calculate the prime factors of 43890 and 43898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43890 and 43898.

How to find the GCF of 43890 and 43898?

We will first find the prime factorization of 43890 and 43898. After we will calculate the factors of 43890 and 43898 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 43898

Prime factors of 43898 are 2, 47, 467. Prime factorization of 43898 in exponential form is:

43898 = 2¹ × 47¹ × 467¹

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 43898

List of positive integer factors of 43898 that divides 43890 without a remainder.

1, 2, 47, 94, 467, 934, 21949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43890 and 43898. The biggest common factor number is the GCF number.
So the greatest common factor 43890 and 43898 is 2.

Also check out the Least Common Multiple of 43890 and 43898