What is the Greatest Common Factor of 47388 and 47405?

Greatest common factor (GCF) of 47388 and 47405 is 1.

GCF(47388,47405) = 1

We will now calculate the prime factors of 47388 and 47405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47388 and 47405.

How to find the GCF of 47388 and 47405?

We will first find the prime factorization of 47388 and 47405. After we will calculate the factors of 47388 and 47405 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 47405

Prime factors of 47405 are 5, 19, 499. Prime factorization of 47405 in exponential form is:

47405 = 5¹ × 19¹ × 499¹

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 47405

List of positive integer factors of 47405 that divides 47388 without a remainder.

1, 5, 19, 95, 499, 2495, 9481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47388 and 47405. The biggest common factor number is the GCF number.
So the greatest common factor 47388 and 47405 is 1.

Also check out the Least Common Multiple of 47388 and 47405