What is the Greatest Common Factor of 63699 and 63717?

Greatest common factor (GCF) of 63699 and 63717 is 3.

GCF(63699,63717) = 3

We will now calculate the prime factors of 63699 and 63717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63699 and 63717.

How to find the GCF of 63699 and 63717?

We will first find the prime factorization of 63699 and 63717. After we will calculate the factors of 63699 and 63717 and find the biggest common factor number .

Step-1: Prime Factorization of 63699

Prime factors of 63699 are 3, 17, 1249. Prime factorization of 63699 in exponential form is:

63699 = 3¹ × 17¹ × 1249¹

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 63699

List of positive integer factors of 63699 that divides 63699 without a remainder.

1, 3, 17, 51, 1249, 3747, 21233

Step-4: Factors of 63717

List of positive integer factors of 63717 that divides 63699 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63699 and 63717. The biggest common factor number is the GCF number.
So the greatest common factor 63699 and 63717 is 3.

Also check out the Least Common Multiple of 63699 and 63717