What is the Greatest Common Factor of 42175 and 42189?

Greatest common factor (GCF) of 42175 and 42189 is 7.

GCF(42175,42189) = 7

We will now calculate the prime factors of 42175 and 42189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42175 and 42189.

How to find the GCF of 42175 and 42189?

We will first find the prime factorization of 42175 and 42189. After we will calculate the factors of 42175 and 42189 and find the biggest common factor number .

Step-1: Prime Factorization of 42175

Prime factors of 42175 are 5, 7, 241. Prime factorization of 42175 in exponential form is:

42175 = 5² × 7¹ × 241¹

Step-2: Prime Factorization of 42189

Prime factors of 42189 are 3, 7, 41. Prime factorization of 42189 in exponential form is:

42189 = 3¹ × 7³ × 41¹

Step-3: Factors of 42175

List of positive integer factors of 42175 that divides 42175 without a remainder.

1, 5, 7, 25, 35, 175, 241, 1205, 1687, 6025, 8435

Step-4: Factors of 42189

List of positive integer factors of 42189 that divides 42175 without a remainder.

1, 3, 7, 21, 41, 49, 123, 147, 287, 343, 861, 1029, 2009, 6027, 14063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42175 and 42189. The biggest common factor number is the GCF number.
So the greatest common factor 42175 and 42189 is 7.

Also check out the Least Common Multiple of 42175 and 42189