What is the Greatest Common Factor of 47461 and 47475?

Greatest common factor (GCF) of 47461 and 47475 is 1.

GCF(47461,47475) = 1

We will now calculate the prime factors of 47461 and 47475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47461 and 47475.

How to find the GCF of 47461 and 47475?

We will first find the prime factorization of 47461 and 47475. After we will calculate the factors of 47461 and 47475 and find the biggest common factor number .

Step-1: Prime Factorization of 47461

Prime factors of 47461 are 31, 1531. Prime factorization of 47461 in exponential form is:

47461 = 31¹ × 1531¹

Step-2: 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-3: Factors of 47461

List of positive integer factors of 47461 that divides 47461 without a remainder.

1, 31, 1531

Step-4: Factors of 47475

List of positive integer factors of 47475 that divides 47461 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47461 and 47475. The biggest common factor number is the GCF number.
So the greatest common factor 47461 and 47475 is 1.

Also check out the Least Common Multiple of 47461 and 47475