What is the Greatest Common Factor of 47335 and 47355?

Greatest common factor (GCF) of 47335 and 47355 is 5.

GCF(47335,47355) = 5

We will now calculate the prime factors of 47335 and 47355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47335 and 47355.

How to find the GCF of 47335 and 47355?

We will first find the prime factorization of 47335 and 47355. After we will calculate the factors of 47335 and 47355 and find the biggest common factor number .

Step-1: Prime Factorization of 47335

Prime factors of 47335 are 5, 9467. Prime factorization of 47335 in exponential form is:

47335 = 5¹ × 9467¹

Step-2: Prime Factorization of 47355

Prime factors of 47355 are 3, 5, 7, 11, 41. Prime factorization of 47355 in exponential form is:

47355 = 3¹ × 5¹ × 7¹ × 11¹ × 41¹

Step-3: Factors of 47335

List of positive integer factors of 47335 that divides 47335 without a remainder.

1, 5, 9467

Step-4: Factors of 47355

List of positive integer factors of 47355 that divides 47335 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 41, 55, 77, 105, 123, 165, 205, 231, 287, 385, 451, 615, 861, 1155, 1353, 1435, 2255, 3157, 4305, 6765, 9471, 15785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47335 and 47355. The biggest common factor number is the GCF number.
So the greatest common factor 47335 and 47355 is 5.

Also check out the Least Common Multiple of 47335 and 47355