What is the Greatest Common Factor of 66689 and 66696?

Greatest common factor (GCF) of 66689 and 66696 is 7.

GCF(66689,66696) = 7

We will now calculate the prime factors of 66689 and 66696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66689 and 66696.

How to find the GCF of 66689 and 66696?

We will first find the prime factorization of 66689 and 66696. After we will calculate the factors of 66689 and 66696 and find the biggest common factor number .

Step-1: Prime Factorization of 66689

Prime factors of 66689 are 7, 1361. Prime factorization of 66689 in exponential form is:

66689 = 7² × 1361¹

Step-2: Prime Factorization of 66696

Prime factors of 66696 are 2, 3, 7, 397. Prime factorization of 66696 in exponential form is:

66696 = 2³ × 3¹ × 7¹ × 397¹

Step-3: Factors of 66689

List of positive integer factors of 66689 that divides 66689 without a remainder.

1, 7, 49, 1361, 9527

Step-4: Factors of 66696

List of positive integer factors of 66696 that divides 66689 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 397, 794, 1191, 1588, 2382, 2779, 3176, 4764, 5558, 8337, 9528, 11116, 16674, 22232, 33348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66689 and 66696. The biggest common factor number is the GCF number.
So the greatest common factor 66689 and 66696 is 7.

Also check out the Least Common Multiple of 66689 and 66696