What is the Greatest Common Factor of 66699 and 66705?

Greatest common factor (GCF) of 66699 and 66705 is 3.

GCF(66699,66705) = 3

We will now calculate the prime factors of 66699 and 66705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66699 and 66705.

How to find the GCF of 66699 and 66705?

We will first find the prime factorization of 66699 and 66705. After we will calculate the factors of 66699 and 66705 and find the biggest common factor number .

Step-1: Prime Factorization of 66699

Prime factors of 66699 are 3, 7411. Prime factorization of 66699 in exponential form is:

66699 = 3² × 7411¹

Step-2: Prime Factorization of 66705

Prime factors of 66705 are 3, 5, 4447. Prime factorization of 66705 in exponential form is:

66705 = 3¹ × 5¹ × 4447¹

Step-3: Factors of 66699

List of positive integer factors of 66699 that divides 66699 without a remainder.

1, 3, 9, 7411, 22233

Step-4: Factors of 66705

List of positive integer factors of 66705 that divides 66699 without a remainder.

1, 3, 5, 15, 4447, 13341, 22235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66699 and 66705. The biggest common factor number is the GCF number.
So the greatest common factor 66699 and 66705 is 3.

Also check out the Least Common Multiple of 66699 and 66705