What is the Greatest Common Factor of 94947 and 94956?

Greatest common factor (GCF) of 94947 and 94956 is 3.

GCF(94947,94956) = 3

We will now calculate the prime factors of 94947 and 94956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94947 and 94956.

How to find the GCF of 94947 and 94956?

We will first find the prime factorization of 94947 and 94956. After we will calculate the factors of 94947 and 94956 and find the biggest common factor number .

Step-1: Prime Factorization of 94947

Prime factors of 94947 are 3, 31649. Prime factorization of 94947 in exponential form is:

94947 = 3¹ × 31649¹

Step-2: Prime Factorization of 94956

Prime factors of 94956 are 2, 3, 41, 193. Prime factorization of 94956 in exponential form is:

94956 = 2² × 3¹ × 41¹ × 193¹

Step-3: Factors of 94947

List of positive integer factors of 94947 that divides 94947 without a remainder.

1, 3, 31649

Step-4: Factors of 94956

List of positive integer factors of 94956 that divides 94947 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 193, 246, 386, 492, 579, 772, 1158, 2316, 7913, 15826, 23739, 31652, 47478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94947 and 94956. The biggest common factor number is the GCF number.
So the greatest common factor 94947 and 94956 is 3.

Also check out the Least Common Multiple of 94947 and 94956