What is the Greatest Common Factor of 43770 and 43775?

Greatest common factor (GCF) of 43770 and 43775 is 5.

GCF(43770,43775) = 5

We will now calculate the prime factors of 43770 and 43775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43770 and 43775.

How to find the GCF of 43770 and 43775?

We will first find the prime factorization of 43770 and 43775. After we will calculate the factors of 43770 and 43775 and find the biggest common factor number .

Step-1: Prime Factorization of 43770

Prime factors of 43770 are 2, 3, 5, 1459. Prime factorization of 43770 in exponential form is:

43770 = 2¹ × 3¹ × 5¹ × 1459¹

Step-2: Prime Factorization of 43775

Prime factors of 43775 are 5, 17, 103. Prime factorization of 43775 in exponential form is:

43775 = 5² × 17¹ × 103¹

Step-3: Factors of 43770

List of positive integer factors of 43770 that divides 43770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1459, 2918, 4377, 7295, 8754, 14590, 21885

Step-4: Factors of 43775

List of positive integer factors of 43775 that divides 43770 without a remainder.

1, 5, 17, 25, 85, 103, 425, 515, 1751, 2575, 8755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43770 and 43775. The biggest common factor number is the GCF number.
So the greatest common factor 43770 and 43775 is 5.

Also check out the Least Common Multiple of 43770 and 43775