What is the Greatest Common Factor of 43884 and 43902?

Greatest common factor (GCF) of 43884 and 43902 is 18.

GCF(43884,43902) = 18

We will now calculate the prime factors of 43884 and 43902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43884 and 43902.

How to find the GCF of 43884 and 43902?

We will first find the prime factorization of 43884 and 43902. After we will calculate the factors of 43884 and 43902 and find the biggest common factor number .

Step-1: Prime Factorization of 43884

Prime factors of 43884 are 2, 3, 23, 53. Prime factorization of 43884 in exponential form is:

43884 = 2² × 3² × 23¹ × 53¹

Step-2: Prime Factorization of 43902

Prime factors of 43902 are 2, 3, 271. Prime factorization of 43902 in exponential form is:

43902 = 2¹ × 3⁴ × 271¹

Step-3: Factors of 43884

List of positive integer factors of 43884 that divides 43884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 53, 69, 92, 106, 138, 159, 207, 212, 276, 318, 414, 477, 636, 828, 954, 1219, 1908, 2438, 3657, 4876, 7314, 10971, 14628, 21942

Step-4: Factors of 43902

List of positive integer factors of 43902 that divides 43884 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 271, 542, 813, 1626, 2439, 4878, 7317, 14634, 21951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43884 and 43902. The biggest common factor number is the GCF number.
So the greatest common factor 43884 and 43902 is 18.

Also check out the Least Common Multiple of 43884 and 43902