What is the Greatest Common Factor of 66698 and 66708?

Greatest common factor (GCF) of 66698 and 66708 is 2.

GCF(66698,66708) = 2

We will now calculate the prime factors of 66698 and 66708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66698 and 66708.

How to find the GCF of 66698 and 66708?

We will first find the prime factorization of 66698 and 66708. After we will calculate the factors of 66698 and 66708 and find the biggest common factor number .

Step-1: Prime Factorization of 66698

Prime factors of 66698 are 2, 33349. Prime factorization of 66698 in exponential form is:

66698 = 2¹ × 33349¹

Step-2: Prime Factorization of 66708

Prime factors of 66708 are 2, 3, 17, 109. Prime factorization of 66708 in exponential form is:

66708 = 2² × 3² × 17¹ × 109¹

Step-3: Factors of 66698

List of positive integer factors of 66698 that divides 66698 without a remainder.

1, 2, 33349

Step-4: Factors of 66708

List of positive integer factors of 66708 that divides 66698 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 109, 153, 204, 218, 306, 327, 436, 612, 654, 981, 1308, 1853, 1962, 3706, 3924, 5559, 7412, 11118, 16677, 22236, 33354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66698 and 66708. The biggest common factor number is the GCF number.
So the greatest common factor 66698 and 66708 is 2.

Also check out the Least Common Multiple of 66698 and 66708