What is the Greatest Common Factor of 94059 and 94071?

Greatest common factor (GCF) of 94059 and 94071 is 3.

GCF(94059,94071) = 3

We will now calculate the prime factors of 94059 and 94071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94059 and 94071.

How to find the GCF of 94059 and 94071?

We will first find the prime factorization of 94059 and 94071. After we will calculate the factors of 94059 and 94071 and find the biggest common factor number .

Step-1: Prime Factorization of 94059

Prime factors of 94059 are 3, 7, 1493. Prime factorization of 94059 in exponential form is:

94059 = 3² × 7¹ × 1493¹

Step-2: Prime Factorization of 94071

Prime factors of 94071 are 3, 31357. Prime factorization of 94071 in exponential form is:

94071 = 3¹ × 31357¹

Step-3: Factors of 94059

List of positive integer factors of 94059 that divides 94059 without a remainder.

1, 3, 7, 9, 21, 63, 1493, 4479, 10451, 13437, 31353

Step-4: Factors of 94071

List of positive integer factors of 94071 that divides 94059 without a remainder.

1, 3, 31357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94059 and 94071. The biggest common factor number is the GCF number.
So the greatest common factor 94059 and 94071 is 3.

Also check out the Least Common Multiple of 94059 and 94071