What is the Greatest Common Factor of 94935 and 94947?

Greatest common factor (GCF) of 94935 and 94947 is 3.

GCF(94935,94947) = 3

We will now calculate the prime factors of 94935 and 94947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94935 and 94947.

How to find the GCF of 94935 and 94947?

We will first find the prime factorization of 94935 and 94947. After we will calculate the factors of 94935 and 94947 and find the biggest common factor number .

Step-1: Prime Factorization of 94935

Prime factors of 94935 are 3, 5, 6329. Prime factorization of 94935 in exponential form is:

94935 = 3¹ × 5¹ × 6329¹

Step-2: Prime Factorization of 94947

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

94947 = 3¹ × 31649¹

Step-3: Factors of 94935

List of positive integer factors of 94935 that divides 94935 without a remainder.

1, 3, 5, 15, 6329, 18987, 31645

Step-4: Factors of 94947

List of positive integer factors of 94947 that divides 94935 without a remainder.

1, 3, 31649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94935 and 94947. The biggest common factor number is the GCF number.
So the greatest common factor 94935 and 94947 is 3.

Also check out the Least Common Multiple of 94935 and 94947