What is the Greatest Common Factor of 94245 and 94257?

Greatest common factor (GCF) of 94245 and 94257 is 3.

GCF(94245,94257) = 3

We will now calculate the prime factors of 94245 and 94257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94245 and 94257.

How to find the GCF of 94245 and 94257?

We will first find the prime factorization of 94245 and 94257. After we will calculate the factors of 94245 and 94257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94257

Prime factors of 94257 are 3, 3491. Prime factorization of 94257 in exponential form is:

94257 = 3³ × 3491¹

Step-3: Factors of 94245

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

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

Step-4: Factors of 94257

List of positive integer factors of 94257 that divides 94245 without a remainder.

1, 3, 9, 27, 3491, 10473, 31419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94245 and 94257. The biggest common factor number is the GCF number.
So the greatest common factor 94245 and 94257 is 3.

Also check out the Least Common Multiple of 94245 and 94257