What is the Greatest Common Factor of 66708 and 66725?

Greatest common factor (GCF) of 66708 and 66725 is 17.

GCF(66708,66725) = 17

We will now calculate the prime factors of 66708 and 66725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66708 and 66725.

How to find the GCF of 66708 and 66725?

We will first find the prime factorization of 66708 and 66725. After we will calculate the factors of 66708 and 66725 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66725

Prime factors of 66725 are 5, 17, 157. Prime factorization of 66725 in exponential form is:

66725 = 5² × 17¹ × 157¹

Step-3: Factors of 66708

List of positive integer factors of 66708 that divides 66708 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

Step-4: Factors of 66725

List of positive integer factors of 66725 that divides 66708 without a remainder.

1, 5, 17, 25, 85, 157, 425, 785, 2669, 3925, 13345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66708 and 66725. The biggest common factor number is the GCF number.
So the greatest common factor 66708 and 66725 is 17.

Also check out the Least Common Multiple of 66708 and 66725