What is the Greatest Common Factor of 94671 and 94686?

Greatest common factor (GCF) of 94671 and 94686 is 3.

GCF(94671,94686) = 3

We will now calculate the prime factors of 94671 and 94686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94671 and 94686.

How to find the GCF of 94671 and 94686?

We will first find the prime factorization of 94671 and 94686. After we will calculate the factors of 94671 and 94686 and find the biggest common factor number .

Step-1: Prime Factorization of 94671

Prime factors of 94671 are 3, 67, 157. Prime factorization of 94671 in exponential form is:

94671 = 3² × 67¹ × 157¹

Step-2: Prime Factorization of 94686

Prime factors of 94686 are 2, 3, 43, 367. Prime factorization of 94686 in exponential form is:

94686 = 2¹ × 3¹ × 43¹ × 367¹

Step-3: Factors of 94671

List of positive integer factors of 94671 that divides 94671 without a remainder.

1, 3, 9, 67, 157, 201, 471, 603, 1413, 10519, 31557

Step-4: Factors of 94686

List of positive integer factors of 94686 that divides 94671 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 367, 734, 1101, 2202, 15781, 31562, 47343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94671 and 94686. The biggest common factor number is the GCF number.
So the greatest common factor 94671 and 94686 is 3.

Also check out the Least Common Multiple of 94671 and 94686