What is the Greatest Common Factor of 43734 and 43749?

Greatest common factor (GCF) of 43734 and 43749 is 3.

GCF(43734,43749) = 3

We will now calculate the prime factors of 43734 and 43749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43734 and 43749.

How to find the GCF of 43734 and 43749?

We will first find the prime factorization of 43734 and 43749. After we will calculate the factors of 43734 and 43749 and find the biggest common factor number .

Step-1: Prime Factorization of 43734

Prime factors of 43734 are 2, 3, 37, 197. Prime factorization of 43734 in exponential form is:

43734 = 2¹ × 3¹ × 37¹ × 197¹

Step-2: Prime Factorization of 43749

Prime factors of 43749 are 3, 4861. Prime factorization of 43749 in exponential form is:

43749 = 3² × 4861¹

Step-3: Factors of 43734

List of positive integer factors of 43734 that divides 43734 without a remainder.

1, 2, 3, 6, 37, 74, 111, 197, 222, 394, 591, 1182, 7289, 14578, 21867

Step-4: Factors of 43749

List of positive integer factors of 43749 that divides 43734 without a remainder.

1, 3, 9, 4861, 14583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43734 and 43749. The biggest common factor number is the GCF number.
So the greatest common factor 43734 and 43749 is 3.

Also check out the Least Common Multiple of 43734 and 43749