What is the Greatest Common Factor of 3731 and 3745?

Greatest common factor (GCF) of 3731 and 3745 is 7.

GCF(3731,3745) = 7

We will now calculate the prime factors of 3731 and 3745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3731 and 3745.

How to find the GCF of 3731 and 3745?

We will first find the prime factorization of 3731 and 3745. After we will calculate the factors of 3731 and 3745 and find the biggest common factor number .

Step-1: Prime Factorization of 3731

Prime factors of 3731 are 7, 13, 41. Prime factorization of 3731 in exponential form is:

3731 = 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 3745

Prime factors of 3745 are 5, 7, 107. Prime factorization of 3745 in exponential form is:

3745 = 5¹ × 7¹ × 107¹

Step-3: Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1, 7, 13, 41, 91, 287, 533

Step-4: Factors of 3745

List of positive integer factors of 3745 that divides 3731 without a remainder.

1, 5, 7, 35, 107, 535, 749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3731 and 3745. The biggest common factor number is the GCF number.
So the greatest common factor 3731 and 3745 is 7.

Also check out the Least Common Multiple of 3731 and 3745