What is the Greatest Common Factor of 3729 and 3738?

Greatest common factor (GCF) of 3729 and 3738 is 3.

GCF(3729,3738) = 3

We will now calculate the prime factors of 3729 and 3738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3729 and 3738.

How to find the GCF of 3729 and 3738?

We will first find the prime factorization of 3729 and 3738. After we will calculate the factors of 3729 and 3738 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 3738

Prime factors of 3738 are 2, 3, 7, 89. Prime factorization of 3738 in exponential form is:

3738 = 2¹ × 3¹ × 7¹ × 89¹

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 3738

List of positive integer factors of 3738 that divides 3729 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3729 and 3738. The biggest common factor number is the GCF number.
So the greatest common factor 3729 and 3738 is 3.

Also check out the Least Common Multiple of 3729 and 3738