What is the Greatest Common Factor of 15705 and 15715?

Greatest common factor (GCF) of 15705 and 15715 is 5.

GCF(15705,15715) = 5

We will now calculate the prime factors of 15705 and 15715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15705 and 15715.

How to find the GCF of 15705 and 15715?

We will first find the prime factorization of 15705 and 15715. After we will calculate the factors of 15705 and 15715 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 15715

Prime factors of 15715 are 5, 7, 449. Prime factorization of 15715 in exponential form is:

15715 = 5¹ × 7¹ × 449¹

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 15715

List of positive integer factors of 15715 that divides 15705 without a remainder.

1, 5, 7, 35, 449, 2245, 3143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15705 and 15715. The biggest common factor number is the GCF number.
So the greatest common factor 15705 and 15715 is 5.

Also check out the Least Common Multiple of 15705 and 15715