What is the Greatest Common Factor of 47709 and 47725?

Greatest common factor (GCF) of 47709 and 47725 is 1.

GCF(47709,47725) = 1

We will now calculate the prime factors of 47709 and 47725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47709 and 47725.

How to find the GCF of 47709 and 47725?

We will first find the prime factorization of 47709 and 47725. After we will calculate the factors of 47709 and 47725 and find the biggest common factor number .

Step-1: Prime Factorization of 47709

Prime factors of 47709 are 3, 19, 31. Prime factorization of 47709 in exponential form is:

47709 = 3⁴ × 19¹ × 31¹

Step-2: Prime Factorization of 47725

Prime factors of 47725 are 5, 23, 83. Prime factorization of 47725 in exponential form is:

47725 = 5² × 23¹ × 83¹

Step-3: Factors of 47709

List of positive integer factors of 47709 that divides 47709 without a remainder.

1, 3, 9, 19, 27, 31, 57, 81, 93, 171, 279, 513, 589, 837, 1539, 1767, 2511, 5301, 15903

Step-4: Factors of 47725

List of positive integer factors of 47725 that divides 47709 without a remainder.

1, 5, 23, 25, 83, 115, 415, 575, 1909, 2075, 9545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47709 and 47725. The biggest common factor number is the GCF number.
So the greatest common factor 47709 and 47725 is 1.

Also check out the Least Common Multiple of 47709 and 47725