What is the Greatest Common Factor of 94245 and 94249?

Greatest common factor (GCF) of 94245 and 94249 is 1.

GCF(94245,94249) = 1

We will now calculate the prime factors of 94245 and 94249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94245 and 94249.

How to find the GCF of 94245 and 94249?

We will first find the prime factorization of 94245 and 94249. After we will calculate the factors of 94245 and 94249 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 94249

Prime factors of 94249 are 307. Prime factorization of 94249 in exponential form is:

94249 = 307²

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 94249

List of positive integer factors of 94249 that divides 94245 without a remainder.

1, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94245 and 94249. The biggest common factor number is the GCF number.
So the greatest common factor 94245 and 94249 is 1.

Also check out the Least Common Multiple of 94245 and 94249