What is the Greatest Common Factor of 43722 and 43740?

Greatest common factor (GCF) of 43722 and 43740 is 18.

GCF(43722,43740) = 18

We will now calculate the prime factors of 43722 and 43740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43722 and 43740.

How to find the GCF of 43722 and 43740?

We will first find the prime factorization of 43722 and 43740. After we will calculate the factors of 43722 and 43740 and find the biggest common factor number .

Step-1: Prime Factorization of 43722

Prime factors of 43722 are 2, 3, 7, 347. Prime factorization of 43722 in exponential form is:

43722 = 2¹ × 3² × 7¹ × 347¹

Step-2: 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-3: Factors of 43722

List of positive integer factors of 43722 that divides 43722 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 347, 694, 1041, 2082, 2429, 3123, 4858, 6246, 7287, 14574, 21861

Step-4: Factors of 43740

List of positive integer factors of 43740 that divides 43722 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43722 and 43740. The biggest common factor number is the GCF number.
So the greatest common factor 43722 and 43740 is 18.

Also check out the Least Common Multiple of 43722 and 43740