What is the Greatest Common Factor of 15705 and 15709?

Greatest common factor (GCF) of 15705 and 15709 is 1.

GCF(15705,15709) = 1

We will now calculate the prime factors of 15705 and 15709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15705 and 15709.

How to find the GCF of 15705 and 15709?

We will first find the prime factorization of 15705 and 15709. After we will calculate the factors of 15705 and 15709 and find the biggest common factor number .

Step-1: Prime Factorization of 15705

Prime factors of 15705 are 3, 5, 349. Prime factorization of 15705 in exponential form is:

15705 = 3² × 5¹ × 349¹

Step-2: Prime Factorization of 15709

Prime factors of 15709 are 23, 683. Prime factorization of 15709 in exponential form is:

15709 = 23¹ × 683¹

Step-3: Factors of 15705

List of positive integer factors of 15705 that divides 15705 without a remainder.

1, 3, 5, 9, 15, 45, 349, 1047, 1745, 3141, 5235

Step-4: Factors of 15709

List of positive integer factors of 15709 that divides 15705 without a remainder.

1, 23, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15705 and 15709. The biggest common factor number is the GCF number.
So the greatest common factor 15705 and 15709 is 1.

Also check out the Least Common Multiple of 15705 and 15709