What is the Greatest Common Factor of 43743 and 43761?

Greatest common factor (GCF) of 43743 and 43761 is 3.

GCF(43743,43761) = 3

We will now calculate the prime factors of 43743 and 43761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43743 and 43761.

How to find the GCF of 43743 and 43761?

We will first find the prime factorization of 43743 and 43761. After we will calculate the factors of 43743 and 43761 and find the biggest common factor number .

Step-1: Prime Factorization of 43743

Prime factors of 43743 are 3, 7, 2083. Prime factorization of 43743 in exponential form is:

43743 = 3¹ × 7¹ × 2083¹

Step-2: Prime Factorization of 43761

Prime factors of 43761 are 3, 29, 503. Prime factorization of 43761 in exponential form is:

43761 = 3¹ × 29¹ × 503¹

Step-3: Factors of 43743

List of positive integer factors of 43743 that divides 43743 without a remainder.

1, 3, 7, 21, 2083, 6249, 14581

Step-4: Factors of 43761

List of positive integer factors of 43761 that divides 43743 without a remainder.

1, 3, 29, 87, 503, 1509, 14587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43743 and 43761. The biggest common factor number is the GCF number.
So the greatest common factor 43743 and 43761 is 3.

Also check out the Least Common Multiple of 43743 and 43761