What is the Greatest Common Factor of 47397 and 47403?

Greatest common factor (GCF) of 47397 and 47403 is 3.

GCF(47397,47403) = 3

We will now calculate the prime factors of 47397 and 47403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47397 and 47403.

How to find the GCF of 47397 and 47403?

We will first find the prime factorization of 47397 and 47403. After we will calculate the factors of 47397 and 47403 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 47403

Prime factors of 47403 are 3, 23, 229. Prime factorization of 47403 in exponential form is:

47403 = 3² × 23¹ × 229¹

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 47403

List of positive integer factors of 47403 that divides 47397 without a remainder.

1, 3, 9, 23, 69, 207, 229, 687, 2061, 5267, 15801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47397 and 47403. The biggest common factor number is the GCF number.
So the greatest common factor 47397 and 47403 is 3.

Also check out the Least Common Multiple of 47397 and 47403