What is the Greatest Common Factor of 63705 and 63717?

Greatest common factor (GCF) of 63705 and 63717 is 3.

GCF(63705,63717) = 3

We will now calculate the prime factors of 63705 and 63717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63705 and 63717.

How to find the GCF of 63705 and 63717?

We will first find the prime factorization of 63705 and 63717. After we will calculate the factors of 63705 and 63717 and find the biggest common factor number .

Step-1: Prime Factorization of 63705

Prime factors of 63705 are 3, 5, 31, 137. Prime factorization of 63705 in exponential form is:

63705 = 3¹ × 5¹ × 31¹ × 137¹

Step-2: Prime Factorization of 63717

Prime factors of 63717 are 3, 67, 317. Prime factorization of 63717 in exponential form is:

63717 = 3¹ × 67¹ × 317¹

Step-3: Factors of 63705

List of positive integer factors of 63705 that divides 63705 without a remainder.

1, 3, 5, 15, 31, 93, 137, 155, 411, 465, 685, 2055, 4247, 12741, 21235

Step-4: Factors of 63717

List of positive integer factors of 63717 that divides 63705 without a remainder.

1, 3, 67, 201, 317, 951, 21239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63705 and 63717. The biggest common factor number is the GCF number.
So the greatest common factor 63705 and 63717 is 3.

Also check out the Least Common Multiple of 63705 and 63717