What is the Greatest Common Factor of 15705 and 15714?

Greatest common factor (GCF) of 15705 and 15714 is 9.

GCF(15705,15714) = 9

We will now calculate the prime factors of 15705 and 15714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15705 and 15714.

How to find the GCF of 15705 and 15714?

We will first find the prime factorization of 15705 and 15714. After we will calculate the factors of 15705 and 15714 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 15714

Prime factors of 15714 are 2, 3, 97. Prime factorization of 15714 in exponential form is:

15714 = 2¹ × 3⁴ × 97¹

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 15714

List of positive integer factors of 15714 that divides 15705 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 97, 162, 194, 291, 582, 873, 1746, 2619, 5238, 7857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15705 and 15714. The biggest common factor number is the GCF number.
So the greatest common factor 15705 and 15714 is 9.

Also check out the Least Common Multiple of 15705 and 15714