What is the Greatest Common Factor of 3729 and 3743?

Greatest common factor (GCF) of 3729 and 3743 is 1.

GCF(3729,3743) = 1

We will now calculate the prime factors of 3729 and 3743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3729 and 3743.

How to find the GCF of 3729 and 3743?

We will first find the prime factorization of 3729 and 3743. After we will calculate the factors of 3729 and 3743 and find the biggest common factor number .

Step-1: Prime Factorization of 3729

Prime factors of 3729 are 3, 11, 113. Prime factorization of 3729 in exponential form is:

3729 = 3¹ × 11¹ × 113¹

Step-2: Prime Factorization of 3743

Prime factors of 3743 are 19, 197. Prime factorization of 3743 in exponential form is:

3743 = 19¹ × 197¹

Step-3: Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1, 3, 11, 33, 113, 339, 1243

Step-4: Factors of 3743

List of positive integer factors of 3743 that divides 3729 without a remainder.

1, 19, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3729 and 3743. The biggest common factor number is the GCF number.
So the greatest common factor 3729 and 3743 is 1.

Also check out the Least Common Multiple of 3729 and 3743