What is the Greatest Common Factor of 47345 and 47365?

Greatest common factor (GCF) of 47345 and 47365 is 5.

GCF(47345,47365) = 5

We will now calculate the prime factors of 47345 and 47365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47345 and 47365.

How to find the GCF of 47345 and 47365?

We will first find the prime factorization of 47345 and 47365. After we will calculate the factors of 47345 and 47365 and find the biggest common factor number .

Step-1: Prime Factorization of 47345

Prime factors of 47345 are 5, 17, 557. Prime factorization of 47345 in exponential form is:

47345 = 5¹ × 17¹ × 557¹

Step-2: Prime Factorization of 47365

Prime factors of 47365 are 5, 9473. Prime factorization of 47365 in exponential form is:

47365 = 5¹ × 9473¹

Step-3: Factors of 47345

List of positive integer factors of 47345 that divides 47345 without a remainder.

1, 5, 17, 85, 557, 2785, 9469

Step-4: Factors of 47365

List of positive integer factors of 47365 that divides 47345 without a remainder.

1, 5, 9473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47345 and 47365. The biggest common factor number is the GCF number.
So the greatest common factor 47345 and 47365 is 5.

Also check out the Least Common Multiple of 47345 and 47365