What is the Greatest Common Factor of 47475 and 47486?

Greatest common factor (GCF) of 47475 and 47486 is 1.

GCF(47475,47486) = 1

We will now calculate the prime factors of 47475 and 47486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47475 and 47486.

How to find the GCF of 47475 and 47486?

We will first find the prime factorization of 47475 and 47486. After we will calculate the factors of 47475 and 47486 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 47486

Prime factors of 47486 are 2, 23743. Prime factorization of 47486 in exponential form is:

47486 = 2¹ × 23743¹

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 47486

List of positive integer factors of 47486 that divides 47475 without a remainder.

1, 2, 23743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47475 and 47486. The biggest common factor number is the GCF number.
So the greatest common factor 47475 and 47486 is 1.

Also check out the Least Common Multiple of 47475 and 47486