What is the Greatest Common Factor of 15705 and 15713?

Greatest common factor (GCF) of 15705 and 15713 is 1.

GCF(15705,15713) = 1

We will now calculate the prime factors of 15705 and 15713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15705 and 15713.

How to find the GCF of 15705 and 15713?

We will first find the prime factorization of 15705 and 15713. After we will calculate the factors of 15705 and 15713 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 15713

Prime factors of 15713 are 19, 827. Prime factorization of 15713 in exponential form is:

15713 = 19¹ × 827¹

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 15713

List of positive integer factors of 15713 that divides 15705 without a remainder.

1, 19, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15705 and 15713. The biggest common factor number is the GCF number.
So the greatest common factor 15705 and 15713 is 1.

Also check out the Least Common Multiple of 15705 and 15713