What is the Greatest Common Factor of 3717 and 3731?

Greatest common factor (GCF) of 3717 and 3731 is 7.

GCF(3717,3731) = 7

We will now calculate the prime factors of 3717 and 3731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3717 and 3731.

How to find the GCF of 3717 and 3731?

We will first find the prime factorization of 3717 and 3731. After we will calculate the factors of 3717 and 3731 and find the biggest common factor number .

Step-1: Prime Factorization of 3717

Prime factors of 3717 are 3, 7, 59. Prime factorization of 3717 in exponential form is:

3717 = 3² × 7¹ × 59¹

Step-2: 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-3: Factors of 3717

List of positive integer factors of 3717 that divides 3717 without a remainder.

1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239

Step-4: Factors of 3731

List of positive integer factors of 3731 that divides 3717 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3717 and 3731. The biggest common factor number is the GCF number.
So the greatest common factor 3717 and 3731 is 7.

Also check out the Least Common Multiple of 3717 and 3731