What is the Greatest Common Factor of 66704 and 66714?

Greatest common factor (GCF) of 66704 and 66714 is 2.

GCF(66704,66714) = 2

We will now calculate the prime factors of 66704 and 66714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66704 and 66714.

How to find the GCF of 66704 and 66714?

We will first find the prime factorization of 66704 and 66714. After we will calculate the factors of 66704 and 66714 and find the biggest common factor number .

Step-1: Prime Factorization of 66704

Prime factors of 66704 are 2, 11, 379. Prime factorization of 66704 in exponential form is:

66704 = 2⁴ × 11¹ × 379¹

Step-2: Prime Factorization of 66714

Prime factors of 66714 are 2, 3, 11119. Prime factorization of 66714 in exponential form is:

66714 = 2¹ × 3¹ × 11119¹

Step-3: Factors of 66704

List of positive integer factors of 66704 that divides 66704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 379, 758, 1516, 3032, 4169, 6064, 8338, 16676, 33352

Step-4: Factors of 66714

List of positive integer factors of 66714 that divides 66704 without a remainder.

1, 2, 3, 6, 11119, 22238, 33357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66704 and 66714. The biggest common factor number is the GCF number.
So the greatest common factor 66704 and 66714 is 2.

Also check out the Least Common Multiple of 66704 and 66714