What is the Greatest Common Factor of 47685 and 47694?

Greatest common factor (GCF) of 47685 and 47694 is 3.

GCF(47685,47694) = 3

We will now calculate the prime factors of 47685 and 47694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47685 and 47694.

How to find the GCF of 47685 and 47694?

We will first find the prime factorization of 47685 and 47694. After we will calculate the factors of 47685 and 47694 and find the biggest common factor number .

Step-1: Prime Factorization of 47685

Prime factors of 47685 are 3, 5, 11, 17. Prime factorization of 47685 in exponential form is:

47685 = 3¹ × 5¹ × 11¹ × 17²

Step-2: Prime Factorization of 47694

Prime factors of 47694 are 2, 3, 7949. Prime factorization of 47694 in exponential form is:

47694 = 2¹ × 3¹ × 7949¹

Step-3: Factors of 47685

List of positive integer factors of 47685 that divides 47685 without a remainder.

1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 289, 561, 867, 935, 1445, 2805, 3179, 4335, 9537, 15895

Step-4: Factors of 47694

List of positive integer factors of 47694 that divides 47685 without a remainder.

1, 2, 3, 6, 7949, 15898, 23847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47685 and 47694. The biggest common factor number is the GCF number.
So the greatest common factor 47685 and 47694 is 3.

Also check out the Least Common Multiple of 47685 and 47694