What is the Greatest Common Factor of 47445 and 47465?

Greatest common factor (GCF) of 47445 and 47465 is 5.

GCF(47445,47465) = 5

We will now calculate the prime factors of 47445 and 47465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47445 and 47465.

How to find the GCF of 47445 and 47465?

We will first find the prime factorization of 47445 and 47465. After we will calculate the factors of 47445 and 47465 and find the biggest common factor number .

Step-1: Prime Factorization of 47445

Prime factors of 47445 are 3, 5, 3163. Prime factorization of 47445 in exponential form is:

47445 = 3¹ × 5¹ × 3163¹

Step-2: Prime Factorization of 47465

Prime factors of 47465 are 5, 11, 863. Prime factorization of 47465 in exponential form is:

47465 = 5¹ × 11¹ × 863¹

Step-3: Factors of 47445

List of positive integer factors of 47445 that divides 47445 without a remainder.

1, 3, 5, 15, 3163, 9489, 15815

Step-4: Factors of 47465

List of positive integer factors of 47465 that divides 47445 without a remainder.

1, 5, 11, 55, 863, 4315, 9493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47445 and 47465. The biggest common factor number is the GCF number.
So the greatest common factor 47445 and 47465 is 5.

Also check out the Least Common Multiple of 47445 and 47465