What is the Greatest Common Factor of 43740 and 43747?

Greatest common factor (GCF) of 43740 and 43747 is 1.

GCF(43740,43747) = 1

We will now calculate the prime factors of 43740 and 43747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43740 and 43747.

How to find the GCF of 43740 and 43747?

We will first find the prime factorization of 43740 and 43747. After we will calculate the factors of 43740 and 43747 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 43747

Prime factors of 43747 are 11, 41, 97. Prime factorization of 43747 in exponential form is:

43747 = 11¹ × 41¹ × 97¹

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 43747

List of positive integer factors of 43747 that divides 43740 without a remainder.

1, 11, 41, 97, 451, 1067, 3977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43740 and 43747. The biggest common factor number is the GCF number.
So the greatest common factor 43740 and 43747 is 1.

Also check out the Least Common Multiple of 43740 and 43747