What is the Greatest Common Factor of 3705 and 3709?

Greatest common factor (GCF) of 3705 and 3709 is 1.

GCF(3705,3709) = 1

We will now calculate the prime factors of 3705 and 3709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3705 and 3709.

How to find the GCF of 3705 and 3709?

We will first find the prime factorization of 3705 and 3709. After we will calculate the factors of 3705 and 3709 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 3709

Prime factors of 3709 are 3709. Prime factorization of 3709 in exponential form is:

3709 = 3709¹

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 3709

List of positive integer factors of 3709 that divides 3705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3705 and 3709. The biggest common factor number is the GCF number.
So the greatest common factor 3705 and 3709 is 1.

Also check out the Least Common Multiple of 3705 and 3709