What is the Greatest Common Factor of 33425 and 33442?

Greatest common factor (GCF) of 33425 and 33442 is 1.

GCF(33425,33442) = 1

We will now calculate the prime factors of 33425 and 33442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33425 and 33442.

How to find the GCF of 33425 and 33442?

We will first find the prime factorization of 33425 and 33442. After we will calculate the factors of 33425 and 33442 and find the biggest common factor number .

Step-1: Prime Factorization of 33425

Prime factors of 33425 are 5, 7, 191. Prime factorization of 33425 in exponential form is:

33425 = 5² × 7¹ × 191¹

Step-2: Prime Factorization of 33442

Prime factors of 33442 are 2, 23, 727. Prime factorization of 33442 in exponential form is:

33442 = 2¹ × 23¹ × 727¹

Step-3: Factors of 33425

List of positive integer factors of 33425 that divides 33425 without a remainder.

1, 5, 7, 25, 35, 175, 191, 955, 1337, 4775, 6685

Step-4: Factors of 33442

List of positive integer factors of 33442 that divides 33425 without a remainder.

1, 2, 23, 46, 727, 1454, 16721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33425 and 33442. The biggest common factor number is the GCF number.
So the greatest common factor 33425 and 33442 is 1.

Also check out the Least Common Multiple of 33425 and 33442