What is the Greatest Common Factor of 10668 and 10682?

Greatest common factor (GCF) of 10668 and 10682 is 14.

GCF(10668,10682) = 14

We will now calculate the prime factors of 10668 and 10682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10668 and 10682.

How to find the GCF of 10668 and 10682?

We will first find the prime factorization of 10668 and 10682. After we will calculate the factors of 10668 and 10682 and find the biggest common factor number .

Step-1: Prime Factorization of 10668

Prime factors of 10668 are 2, 3, 7, 127. Prime factorization of 10668 in exponential form is:

10668 = 2² × 3¹ × 7¹ × 127¹

Step-2: Prime Factorization of 10682

Prime factors of 10682 are 2, 7, 109. Prime factorization of 10682 in exponential form is:

10682 = 2¹ × 7² × 109¹

Step-3: Factors of 10668

List of positive integer factors of 10668 that divides 10668 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 127, 254, 381, 508, 762, 889, 1524, 1778, 2667, 3556, 5334

Step-4: Factors of 10682

List of positive integer factors of 10682 that divides 10668 without a remainder.

1, 2, 7, 14, 49, 98, 109, 218, 763, 1526, 5341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10668 and 10682. The biggest common factor number is the GCF number.
So the greatest common factor 10668 and 10682 is 14.

Also check out the Least Common Multiple of 10668 and 10682