What is the Greatest Common Factor of 47685 and 47690?

Greatest common factor (GCF) of 47685 and 47690 is 5.

GCF(47685,47690) = 5

We will now calculate the prime factors of 47685 and 47690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47685 and 47690.

How to find the GCF of 47685 and 47690?

We will first find the prime factorization of 47685 and 47690. After we will calculate the factors of 47685 and 47690 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 47690

Prime factors of 47690 are 2, 5, 19, 251. Prime factorization of 47690 in exponential form is:

47690 = 2¹ × 5¹ × 19¹ × 251¹

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 47690

List of positive integer factors of 47690 that divides 47685 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 251, 502, 1255, 2510, 4769, 9538, 23845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47685 and 47690. The biggest common factor number is the GCF number.
So the greatest common factor 47685 and 47690 is 5.

Also check out the Least Common Multiple of 47685 and 47690