What is the Greatest Common Factor of 43740 and 43760?

Greatest common factor (GCF) of 43740 and 43760 is 20.

GCF(43740,43760) = 20

We will now calculate the prime factors of 43740 and 43760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43740 and 43760.

How to find the GCF of 43740 and 43760?

We will first find the prime factorization of 43740 and 43760. After we will calculate the factors of 43740 and 43760 and find the biggest common factor number .

Step-1: Prime Factorization of 43740

Prime factors of 43740 are 2, 3, 5. Prime factorization of 43740 in exponential form is:

43740 = 2² × 3⁷ × 5¹

Step-2: 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-3: Factors of 43740

List of positive integer factors of 43740 that divides 43740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 729, 810, 972, 1215, 1458, 1620, 2187, 2430, 2916, 3645, 4374, 4860, 7290, 8748, 10935, 14580, 21870

Step-4: Factors of 43760

List of positive integer factors of 43760 that divides 43740 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43740 and 43760. The biggest common factor number is the GCF number.
So the greatest common factor 43740 and 43760 is 20.

Also check out the Least Common Multiple of 43740 and 43760