What is the Greatest Common Factor of 66332 and 66346?

Greatest common factor (GCF) of 66332 and 66346 is 14.

GCF(66332,66346) = 14

We will now calculate the prime factors of 66332 and 66346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66332 and 66346.

How to find the GCF of 66332 and 66346?

We will first find the prime factorization of 66332 and 66346. After we will calculate the factors of 66332 and 66346 and find the biggest common factor number .

Step-1: Prime Factorization of 66332

Prime factors of 66332 are 2, 7, 23, 103. Prime factorization of 66332 in exponential form is:

66332 = 2² × 7¹ × 23¹ × 103¹

Step-2: Prime Factorization of 66346

Prime factors of 66346 are 2, 7, 677. Prime factorization of 66346 in exponential form is:

66346 = 2¹ × 7² × 677¹

Step-3: Factors of 66332

List of positive integer factors of 66332 that divides 66332 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 103, 161, 206, 322, 412, 644, 721, 1442, 2369, 2884, 4738, 9476, 16583, 33166

Step-4: Factors of 66346

List of positive integer factors of 66346 that divides 66332 without a remainder.

1, 2, 7, 14, 49, 98, 677, 1354, 4739, 9478, 33173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66332 and 66346. The biggest common factor number is the GCF number.
So the greatest common factor 66332 and 66346 is 14.

Also check out the Least Common Multiple of 66332 and 66346