What is the Greatest Common Factor of 47397 and 47417?

Greatest common factor (GCF) of 47397 and 47417 is 1.

GCF(47397,47417) = 1

We will now calculate the prime factors of 47397 and 47417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47397 and 47417.

How to find the GCF of 47397 and 47417?

We will first find the prime factorization of 47397 and 47417. After we will calculate the factors of 47397 and 47417 and find the biggest common factor number .

Step-1: Prime Factorization of 47397

Prime factors of 47397 are 3, 7, 37, 61. Prime factorization of 47397 in exponential form is:

47397 = 3¹ × 7¹ × 37¹ × 61¹

Step-2: Prime Factorization of 47417

Prime factors of 47417 are 47417. Prime factorization of 47417 in exponential form is:

47417 = 47417¹

Step-3: Factors of 47397

List of positive integer factors of 47397 that divides 47397 without a remainder.

1, 3, 7, 21, 37, 61, 111, 183, 259, 427, 777, 1281, 2257, 6771, 15799

Step-4: Factors of 47417

List of positive integer factors of 47417 that divides 47397 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47397 and 47417. The biggest common factor number is the GCF number.
So the greatest common factor 47397 and 47417 is 1.

Also check out the Least Common Multiple of 47397 and 47417