What is the Greatest Common Factor of 43875 and 43885?

Greatest common factor (GCF) of 43875 and 43885 is 5.

GCF(43875,43885) = 5

We will now calculate the prime factors of 43875 and 43885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43875 and 43885.

How to find the GCF of 43875 and 43885?

We will first find the prime factorization of 43875 and 43885. After we will calculate the factors of 43875 and 43885 and find the biggest common factor number .

Step-1: Prime Factorization of 43875

Prime factors of 43875 are 3, 5, 13. Prime factorization of 43875 in exponential form is:

43875 = 3³ × 5³ × 13¹

Step-2: Prime Factorization of 43885

Prime factors of 43885 are 5, 67, 131. Prime factorization of 43885 in exponential form is:

43885 = 5¹ × 67¹ × 131¹

Step-3: Factors of 43875

List of positive integer factors of 43875 that divides 43875 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 125, 135, 195, 225, 325, 351, 375, 585, 675, 975, 1125, 1625, 1755, 2925, 3375, 4875, 8775, 14625

Step-4: Factors of 43885

List of positive integer factors of 43885 that divides 43875 without a remainder.

1, 5, 67, 131, 335, 655, 8777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43875 and 43885. The biggest common factor number is the GCF number.
So the greatest common factor 43875 and 43885 is 5.

Also check out the Least Common Multiple of 43875 and 43885