What is the Greatest Common Factor of 33706 and 33725?

Greatest common factor (GCF) of 33706 and 33725 is 19.

GCF(33706,33725) = 19

We will now calculate the prime factors of 33706 and 33725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33706 and 33725.

How to find the GCF of 33706 and 33725?

We will first find the prime factorization of 33706 and 33725. After we will calculate the factors of 33706 and 33725 and find the biggest common factor number .

Step-1: Prime Factorization of 33706

Prime factors of 33706 are 2, 19, 887. Prime factorization of 33706 in exponential form is:

33706 = 2¹ × 19¹ × 887¹

Step-2: Prime Factorization of 33725

Prime factors of 33725 are 5, 19, 71. Prime factorization of 33725 in exponential form is:

33725 = 5² × 19¹ × 71¹

Step-3: Factors of 33706

List of positive integer factors of 33706 that divides 33706 without a remainder.

1, 2, 19, 38, 887, 1774, 16853

Step-4: Factors of 33725

List of positive integer factors of 33725 that divides 33706 without a remainder.

1, 5, 19, 25, 71, 95, 355, 475, 1349, 1775, 6745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33706 and 33725. The biggest common factor number is the GCF number.
So the greatest common factor 33706 and 33725 is 19.

Also check out the Least Common Multiple of 33706 and 33725