What is the Greatest Common Factor of 43760 and 43765?

Greatest common factor (GCF) of 43760 and 43765 is 5.

GCF(43760,43765) = 5

We will now calculate the prime factors of 43760 and 43765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43760 and 43765.

How to find the GCF of 43760 and 43765?

We will first find the prime factorization of 43760 and 43765. After we will calculate the factors of 43760 and 43765 and find the biggest common factor number .

Step-1: Prime Factorization of 43760

Prime factors of 43760 are 2, 5, 547. Prime factorization of 43760 in exponential form is:

43760 = 2⁴ × 5¹ × 547¹

Step-2: Prime Factorization of 43765

Prime factors of 43765 are 5, 8753. Prime factorization of 43765 in exponential form is:

43765 = 5¹ × 8753¹

Step-3: Factors of 43760

List of positive integer factors of 43760 that divides 43760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 547, 1094, 2188, 2735, 4376, 5470, 8752, 10940, 21880

Step-4: Factors of 43765

List of positive integer factors of 43765 that divides 43760 without a remainder.

1, 5, 8753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43760 and 43765. The biggest common factor number is the GCF number.
So the greatest common factor 43760 and 43765 is 5.

Also check out the Least Common Multiple of 43760 and 43765