What is the Greatest Common Factor of 94227 and 94245?

Greatest common factor (GCF) of 94227 and 94245 is 3.

GCF(94227,94245) = 3

We will now calculate the prime factors of 94227 and 94245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94227 and 94245.

How to find the GCF of 94227 and 94245?

We will first find the prime factorization of 94227 and 94245. After we will calculate the factors of 94227 and 94245 and find the biggest common factor number .

Step-1: Prime Factorization of 94227

Prime factors of 94227 are 3, 7, 641. Prime factorization of 94227 in exponential form is:

94227 = 3¹ × 7² × 641¹

Step-2: Prime Factorization of 94245

Prime factors of 94245 are 3, 5, 61, 103. Prime factorization of 94245 in exponential form is:

94245 = 3¹ × 5¹ × 61¹ × 103¹

Step-3: Factors of 94227

List of positive integer factors of 94227 that divides 94227 without a remainder.

1, 3, 7, 21, 49, 147, 641, 1923, 4487, 13461, 31409

Step-4: Factors of 94245

List of positive integer factors of 94245 that divides 94227 without a remainder.

1, 3, 5, 15, 61, 103, 183, 305, 309, 515, 915, 1545, 6283, 18849, 31415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94227 and 94245. The biggest common factor number is the GCF number.
So the greatest common factor 94227 and 94245 is 3.

Also check out the Least Common Multiple of 94227 and 94245