What is the Greatest Common Factor of 66314 and 66332?

Greatest common factor (GCF) of 66314 and 66332 is 2.

GCF(66314,66332) = 2

We will now calculate the prime factors of 66314 and 66332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66314 and 66332.

How to find the GCF of 66314 and 66332?

We will first find the prime factorization of 66314 and 66332. After we will calculate the factors of 66314 and 66332 and find the biggest common factor number .

Step-1: Prime Factorization of 66314

Prime factors of 66314 are 2, 71, 467. Prime factorization of 66314 in exponential form is:

66314 = 2¹ × 71¹ × 467¹

Step-2: 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-3: Factors of 66314

List of positive integer factors of 66314 that divides 66314 without a remainder.

1, 2, 71, 142, 467, 934, 33157

Step-4: Factors of 66332

List of positive integer factors of 66332 that divides 66314 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66314 and 66332. The biggest common factor number is the GCF number.
So the greatest common factor 66314 and 66332 is 2.

Also check out the Least Common Multiple of 66314 and 66332