What is the Greatest Common Factor of 94257 and 94269?

Greatest common factor (GCF) of 94257 and 94269 is 3.

GCF(94257,94269) = 3

We will now calculate the prime factors of 94257 and 94269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94257 and 94269.

How to find the GCF of 94257 and 94269?

We will first find the prime factorization of 94257 and 94269. After we will calculate the factors of 94257 and 94269 and find the biggest common factor number .

Step-1: Prime Factorization of 94257

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

94257 = 3³ × 3491¹

Step-2: Prime Factorization of 94269

Prime factors of 94269 are 3, 7, 67. Prime factorization of 94269 in exponential form is:

94269 = 3¹ × 7¹ × 67²

Step-3: Factors of 94257

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

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

Step-4: Factors of 94269

List of positive integer factors of 94269 that divides 94257 without a remainder.

1, 3, 7, 21, 67, 201, 469, 1407, 4489, 13467, 31423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94257 and 94269. The biggest common factor number is the GCF number.
So the greatest common factor 94257 and 94269 is 3.

Also check out the Least Common Multiple of 94257 and 94269