What is the Greatest Common Factor of 47475 and 47493?

Greatest common factor (GCF) of 47475 and 47493 is 9.

GCF(47475,47493) = 9

We will now calculate the prime factors of 47475 and 47493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47475 and 47493.

How to find the GCF of 47475 and 47493?

We will first find the prime factorization of 47475 and 47493. After we will calculate the factors of 47475 and 47493 and find the biggest common factor number .

Step-1: Prime Factorization of 47475

Prime factors of 47475 are 3, 5, 211. Prime factorization of 47475 in exponential form is:

47475 = 3² × 5² × 211¹

Step-2: Prime Factorization of 47493

Prime factors of 47493 are 3, 1759. Prime factorization of 47493 in exponential form is:

47493 = 3³ × 1759¹

Step-3: Factors of 47475

List of positive integer factors of 47475 that divides 47475 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 211, 225, 633, 1055, 1899, 3165, 5275, 9495, 15825

Step-4: Factors of 47493

List of positive integer factors of 47493 that divides 47475 without a remainder.

1, 3, 9, 27, 1759, 5277, 15831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47475 and 47493. The biggest common factor number is the GCF number.
So the greatest common factor 47475 and 47493 is 9.

Also check out the Least Common Multiple of 47475 and 47493