What is the Greatest Common Factor of 47674 and 47685?

Greatest common factor (GCF) of 47674 and 47685 is 11.

GCF(47674,47685) = 11

We will now calculate the prime factors of 47674 and 47685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47674 and 47685.

How to find the GCF of 47674 and 47685?

We will first find the prime factorization of 47674 and 47685. After we will calculate the factors of 47674 and 47685 and find the biggest common factor number .

Step-1: Prime Factorization of 47674

Prime factors of 47674 are 2, 11, 197. Prime factorization of 47674 in exponential form is:

47674 = 2¹ × 11² × 197¹

Step-2: 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-3: Factors of 47674

List of positive integer factors of 47674 that divides 47674 without a remainder.

1, 2, 11, 22, 121, 197, 242, 394, 2167, 4334, 23837

Step-4: Factors of 47685

List of positive integer factors of 47685 that divides 47674 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47674 and 47685. The biggest common factor number is the GCF number.
So the greatest common factor 47674 and 47685 is 11.

Also check out the Least Common Multiple of 47674 and 47685