What is the Greatest Common Factor of 3723 and 3734?

Greatest common factor (GCF) of 3723 and 3734 is 1.

GCF(3723,3734) = 1

We will now calculate the prime factors of 3723 and 3734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3723 and 3734.

How to find the GCF of 3723 and 3734?

We will first find the prime factorization of 3723 and 3734. After we will calculate the factors of 3723 and 3734 and find the biggest common factor number .

Step-1: Prime Factorization of 3723

Prime factors of 3723 are 3, 17, 73. Prime factorization of 3723 in exponential form is:

3723 = 3¹ × 17¹ × 73¹

Step-2: Prime Factorization of 3734

Prime factors of 3734 are 2, 1867. Prime factorization of 3734 in exponential form is:

3734 = 2¹ × 1867¹

Step-3: Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1, 3, 17, 51, 73, 219, 1241

Step-4: Factors of 3734

List of positive integer factors of 3734 that divides 3723 without a remainder.

1, 2, 1867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3723 and 3734. The biggest common factor number is the GCF number.
So the greatest common factor 3723 and 3734 is 1.

Also check out the Least Common Multiple of 3723 and 3734