What is the Greatest Common Factor of 3705 and 3715?

Greatest common factor (GCF) of 3705 and 3715 is 5.

GCF(3705,3715) = 5

We will now calculate the prime factors of 3705 and 3715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3705 and 3715.

How to find the GCF of 3705 and 3715?

We will first find the prime factorization of 3705 and 3715. After we will calculate the factors of 3705 and 3715 and find the biggest common factor number .

Step-1: Prime Factorization of 3705

Prime factors of 3705 are 3, 5, 13, 19. Prime factorization of 3705 in exponential form is:

3705 = 3¹ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 3715

Prime factors of 3715 are 5, 743. Prime factorization of 3715 in exponential form is:

3715 = 5¹ × 743¹

Step-3: Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235

Step-4: Factors of 3715

List of positive integer factors of 3715 that divides 3705 without a remainder.

1, 5, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3705 and 3715. The biggest common factor number is the GCF number.
So the greatest common factor 3705 and 3715 is 5.

Also check out the Least Common Multiple of 3705 and 3715