What is the Greatest Common Factor of 43902 and 43917?

Greatest common factor (GCF) of 43902 and 43917 is 3.

GCF(43902,43917) = 3

We will now calculate the prime factors of 43902 and 43917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43902 and 43917.

How to find the GCF of 43902 and 43917?

We will first find the prime factorization of 43902 and 43917. After we will calculate the factors of 43902 and 43917 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43917

Prime factors of 43917 are 3, 14639. Prime factorization of 43917 in exponential form is:

43917 = 3¹ × 14639¹

Step-3: Factors of 43902

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

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

Step-4: Factors of 43917

List of positive integer factors of 43917 that divides 43902 without a remainder.

1, 3, 14639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43902 and 43917. The biggest common factor number is the GCF number.
So the greatest common factor 43902 and 43917 is 3.

Also check out the Least Common Multiple of 43902 and 43917