What is the Greatest Common Factor of 47372 and 47385?

Greatest common factor (GCF) of 47372 and 47385 is 13.

GCF(47372,47385) = 13

We will now calculate the prime factors of 47372 and 47385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47372 and 47385.

How to find the GCF of 47372 and 47385?

We will first find the prime factorization of 47372 and 47385. After we will calculate the factors of 47372 and 47385 and find the biggest common factor number .

Step-1: Prime Factorization of 47372

Prime factors of 47372 are 2, 13, 911. Prime factorization of 47372 in exponential form is:

47372 = 2² × 13¹ × 911¹

Step-2: Prime Factorization of 47385

Prime factors of 47385 are 3, 5, 13. Prime factorization of 47385 in exponential form is:

47385 = 3⁶ × 5¹ × 13¹

Step-3: Factors of 47372

List of positive integer factors of 47372 that divides 47372 without a remainder.

1, 2, 4, 13, 26, 52, 911, 1822, 3644, 11843, 23686

Step-4: Factors of 47385

List of positive integer factors of 47385 that divides 47372 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 243, 351, 405, 585, 729, 1053, 1215, 1755, 3159, 3645, 5265, 9477, 15795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47372 and 47385. The biggest common factor number is the GCF number.
So the greatest common factor 47372 and 47385 is 13.

Also check out the Least Common Multiple of 47372 and 47385