What is the Greatest Common Factor of 42207 and 42225?

Greatest common factor (GCF) of 42207 and 42225 is 3.

GCF(42207,42225) = 3

We will now calculate the prime factors of 42207 and 42225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42207 and 42225.

How to find the GCF of 42207 and 42225?

We will first find the prime factorization of 42207 and 42225. After we will calculate the factors of 42207 and 42225 and find the biggest common factor number .

Step-1: Prime Factorization of 42207

Prime factors of 42207 are 3, 11, 1279. Prime factorization of 42207 in exponential form is:

42207 = 3¹ × 11¹ × 1279¹

Step-2: 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-3: Factors of 42207

List of positive integer factors of 42207 that divides 42207 without a remainder.

1, 3, 11, 33, 1279, 3837, 14069

Step-4: Factors of 42225

List of positive integer factors of 42225 that divides 42207 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42207 and 42225. The biggest common factor number is the GCF number.
So the greatest common factor 42207 and 42225 is 3.

Also check out the Least Common Multiple of 42207 and 42225