What is the Greatest Common Factor of 94731 and 94746?

Greatest common factor (GCF) of 94731 and 94746 is 3.

GCF(94731,94746) = 3

We will now calculate the prime factors of 94731 and 94746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94731 and 94746.

How to find the GCF of 94731 and 94746?

We will first find the prime factorization of 94731 and 94746. After we will calculate the factors of 94731 and 94746 and find the biggest common factor number .

Step-1: Prime Factorization of 94731

Prime factors of 94731 are 3, 7, 13, 347. Prime factorization of 94731 in exponential form is:

94731 = 3¹ × 7¹ × 13¹ × 347¹

Step-2: Prime Factorization of 94746

Prime factors of 94746 are 2, 3, 15791. Prime factorization of 94746 in exponential form is:

94746 = 2¹ × 3¹ × 15791¹

Step-3: Factors of 94731

List of positive integer factors of 94731 that divides 94731 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273, 347, 1041, 2429, 4511, 7287, 13533, 31577

Step-4: Factors of 94746

List of positive integer factors of 94746 that divides 94731 without a remainder.

1, 2, 3, 6, 15791, 31582, 47373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94731 and 94746. The biggest common factor number is the GCF number.
So the greatest common factor 94731 and 94746 is 3.

Also check out the Least Common Multiple of 94731 and 94746