What is the Greatest Common Factor of 66725 and 66742?

Greatest common factor (GCF) of 66725 and 66742 is 17.

GCF(66725,66742) = 17

We will now calculate the prime factors of 66725 and 66742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66725 and 66742.

How to find the GCF of 66725 and 66742?

We will first find the prime factorization of 66725 and 66742. After we will calculate the factors of 66725 and 66742 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66742

Prime factors of 66742 are 2, 13, 17, 151. Prime factorization of 66742 in exponential form is:

66742 = 2¹ × 13¹ × 17¹ × 151¹

Step-3: Factors of 66725

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

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

Step-4: Factors of 66742

List of positive integer factors of 66742 that divides 66725 without a remainder.

1, 2, 13, 17, 26, 34, 151, 221, 302, 442, 1963, 2567, 3926, 5134, 33371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66725 and 66742. The biggest common factor number is the GCF number.
So the greatest common factor 66725 and 66742 is 17.

Also check out the Least Common Multiple of 66725 and 66742