What is the Greatest Common Factor of 10653 and 10668?

Greatest common factor (GCF) of 10653 and 10668 is 3.

GCF(10653,10668) = 3

We will now calculate the prime factors of 10653 and 10668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10653 and 10668.

How to find the GCF of 10653 and 10668?

We will first find the prime factorization of 10653 and 10668. After we will calculate the factors of 10653 and 10668 and find the biggest common factor number .

Step-1: Prime Factorization of 10653

Prime factors of 10653 are 3, 53, 67. Prime factorization of 10653 in exponential form is:

10653 = 3¹ × 53¹ × 67¹

Step-2: 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-3: Factors of 10653

List of positive integer factors of 10653 that divides 10653 without a remainder.

1, 3, 53, 67, 159, 201, 3551

Step-4: Factors of 10668

List of positive integer factors of 10668 that divides 10653 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10653 and 10668. The biggest common factor number is the GCF number.
So the greatest common factor 10653 and 10668 is 3.

Also check out the Least Common Multiple of 10653 and 10668