What is the Greatest Common Factor of 69699 and 69717?

Greatest common factor (GCF) of 69699 and 69717 is 3.

GCF(69699,69717) = 3

We will now calculate the prime factors of 69699 and 69717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69699 and 69717.

How to find the GCF of 69699 and 69717?

We will first find the prime factorization of 69699 and 69717. After we will calculate the factors of 69699 and 69717 and find the biggest common factor number .

Step-1: Prime Factorization of 69699

Prime factors of 69699 are 3, 7, 3319. Prime factorization of 69699 in exponential form is:

69699 = 3¹ × 7¹ × 3319¹

Step-2: Prime Factorization of 69717

Prime factors of 69717 are 3, 17, 1367. Prime factorization of 69717 in exponential form is:

69717 = 3¹ × 17¹ × 1367¹

Step-3: Factors of 69699

List of positive integer factors of 69699 that divides 69699 without a remainder.

1, 3, 7, 21, 3319, 9957, 23233

Step-4: Factors of 69717

List of positive integer factors of 69717 that divides 69699 without a remainder.

1, 3, 17, 51, 1367, 4101, 23239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69699 and 69717. The biggest common factor number is the GCF number.
So the greatest common factor 69699 and 69717 is 3.

Also check out the Least Common Multiple of 69699 and 69717