What is the Greatest Common Factor of 43722 and 43731?

Greatest common factor (GCF) of 43722 and 43731 is 9.

GCF(43722,43731) = 9

We will now calculate the prime factors of 43722 and 43731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43722 and 43731.

How to find the GCF of 43722 and 43731?

We will first find the prime factorization of 43722 and 43731. After we will calculate the factors of 43722 and 43731 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 43731

Prime factors of 43731 are 3, 43, 113. Prime factorization of 43731 in exponential form is:

43731 = 3² × 43¹ × 113¹

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 43731

List of positive integer factors of 43731 that divides 43722 without a remainder.

1, 3, 9, 43, 113, 129, 339, 387, 1017, 4859, 14577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43722 and 43731. The biggest common factor number is the GCF number.
So the greatest common factor 43722 and 43731 is 9.

Also check out the Least Common Multiple of 43722 and 43731