What is the Greatest Common Factor of 42225 and 42243?

Greatest common factor (GCF) of 42225 and 42243 is 3.

GCF(42225,42243) = 3

We will now calculate the prime factors of 42225 and 42243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42225 and 42243.

How to find the GCF of 42225 and 42243?

We will first find the prime factorization of 42225 and 42243. After we will calculate the factors of 42225 and 42243 and find the biggest common factor number .

Step-1: Prime Factorization of 42225

Prime factors of 42225 are 3, 5, 563. Prime factorization of 42225 in exponential form is:

42225 = 3¹ × 5² × 563¹

Step-2: Prime Factorization of 42243

Prime factors of 42243 are 3, 14081. Prime factorization of 42243 in exponential form is:

42243 = 3¹ × 14081¹

Step-3: Factors of 42225

List of positive integer factors of 42225 that divides 42225 without a remainder.

1, 3, 5, 15, 25, 75, 563, 1689, 2815, 8445, 14075

Step-4: Factors of 42243

List of positive integer factors of 42243 that divides 42225 without a remainder.

1, 3, 14081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42225 and 42243. The biggest common factor number is the GCF number.
So the greatest common factor 42225 and 42243 is 3.

Also check out the Least Common Multiple of 42225 and 42243