What is the Greatest Common Factor of 37743 and 37761?

Greatest common factor (GCF) of 37743 and 37761 is 3.

GCF(37743,37761) = 3

We will now calculate the prime factors of 37743 and 37761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37743 and 37761.

How to find the GCF of 37743 and 37761?

We will first find the prime factorization of 37743 and 37761. After we will calculate the factors of 37743 and 37761 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37761

Prime factors of 37761 are 3, 41, 307. Prime factorization of 37761 in exponential form is:

37761 = 3¹ × 41¹ × 307¹

Step-3: Factors of 37743

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

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

Step-4: Factors of 37761

List of positive integer factors of 37761 that divides 37743 without a remainder.

1, 3, 41, 123, 307, 921, 12587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37743 and 37761. The biggest common factor number is the GCF number.
So the greatest common factor 37743 and 37761 is 3.

Also check out the Least Common Multiple of 37743 and 37761