What is the Greatest Common Factor of 37734 and 37743?

Greatest common factor (GCF) of 37734 and 37743 is 3.

GCF(37734,37743) = 3

We will now calculate the prime factors of 37734 and 37743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37734 and 37743.

How to find the GCF of 37734 and 37743?

We will first find the prime factorization of 37734 and 37743. After we will calculate the factors of 37734 and 37743 and find the biggest common factor number .

Step-1: Prime Factorization of 37734

Prime factors of 37734 are 2, 3, 19, 331. Prime factorization of 37734 in exponential form is:

37734 = 2¹ × 3¹ × 19¹ × 331¹

Step-2: Prime Factorization of 37743

Prime factors of 37743 are 3, 23, 547. Prime factorization of 37743 in exponential form is:

37743 = 3¹ × 23¹ × 547¹

Step-3: Factors of 37734

List of positive integer factors of 37734 that divides 37734 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 331, 662, 993, 1986, 6289, 12578, 18867

Step-4: Factors of 37743

List of positive integer factors of 37743 that divides 37734 without a remainder.

1, 3, 23, 69, 547, 1641, 12581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37734 and 37743. The biggest common factor number is the GCF number.
So the greatest common factor 37734 and 37743 is 3.

Also check out the Least Common Multiple of 37734 and 37743