What is the Greatest Common Factor of 47475 and 47492?

Greatest common factor (GCF) of 47475 and 47492 is 1.

GCF(47475,47492) = 1

We will now calculate the prime factors of 47475 and 47492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47475 and 47492.

How to find the GCF of 47475 and 47492?

We will first find the prime factorization of 47475 and 47492. After we will calculate the factors of 47475 and 47492 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 47492

Prime factors of 47492 are 2, 31, 383. Prime factorization of 47492 in exponential form is:

47492 = 2² × 31¹ × 383¹

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 47492

List of positive integer factors of 47492 that divides 47475 without a remainder.

1, 2, 4, 31, 62, 124, 383, 766, 1532, 11873, 23746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47475 and 47492. The biggest common factor number is the GCF number.
So the greatest common factor 47475 and 47492 is 1.

Also check out the Least Common Multiple of 47475 and 47492