What is the Greatest Common Factor of 3740 and 3757?

Greatest common factor (GCF) of 3740 and 3757 is 17.

GCF(3740,3757) = 17

We will now calculate the prime factors of 3740 and 3757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3740 and 3757.

How to find the GCF of 3740 and 3757?

We will first find the prime factorization of 3740 and 3757. After we will calculate the factors of 3740 and 3757 and find the biggest common factor number .

Step-1: Prime Factorization of 3740

Prime factors of 3740 are 2, 5, 11, 17. Prime factorization of 3740 in exponential form is:

3740 = 2² × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 3757

Prime factors of 3757 are 13, 17. Prime factorization of 3757 in exponential form is:

3757 = 13¹ × 17²

Step-3: Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870

Step-4: Factors of 3757

List of positive integer factors of 3757 that divides 3740 without a remainder.

1, 13, 17, 221, 289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3740 and 3757. The biggest common factor number is the GCF number.
So the greatest common factor 3740 and 3757 is 17.

Also check out the Least Common Multiple of 3740 and 3757