What is the Greatest Common Factor of 47388 and 47399?

Greatest common factor (GCF) of 47388 and 47399 is 11.

GCF(47388,47399) = 11

We will now calculate the prime factors of 47388 and 47399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47388 and 47399.

How to find the GCF of 47388 and 47399?

We will first find the prime factorization of 47388 and 47399. After we will calculate the factors of 47388 and 47399 and find the biggest common factor number .

Step-1: Prime Factorization of 47388

Prime factors of 47388 are 2, 3, 11, 359. Prime factorization of 47388 in exponential form is:

47388 = 2² × 3¹ × 11¹ × 359¹

Step-2: Prime Factorization of 47399

Prime factors of 47399 are 11, 31, 139. Prime factorization of 47399 in exponential form is:

47399 = 11¹ × 31¹ × 139¹

Step-3: Factors of 47388

List of positive integer factors of 47388 that divides 47388 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 359, 718, 1077, 1436, 2154, 3949, 4308, 7898, 11847, 15796, 23694

Step-4: Factors of 47399

List of positive integer factors of 47399 that divides 47388 without a remainder.

1, 11, 31, 139, 341, 1529, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47388 and 47399. The biggest common factor number is the GCF number.
So the greatest common factor 47388 and 47399 is 11.

Also check out the Least Common Multiple of 47388 and 47399