What is the Greatest Common Factor of 47529 and 47539?

Greatest common factor (GCF) of 47529 and 47539 is 1.

GCF(47529,47539) = 1

We will now calculate the prime factors of 47529 and 47539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47529 and 47539.

How to find the GCF of 47529 and 47539?

We will first find the prime factorization of 47529 and 47539. After we will calculate the factors of 47529 and 47539 and find the biggest common factor number .

Step-1: Prime Factorization of 47529

Prime factors of 47529 are 3, 5281. Prime factorization of 47529 in exponential form is:

47529 = 3² × 5281¹

Step-2: Prime Factorization of 47539

Prime factors of 47539 are 137, 347. Prime factorization of 47539 in exponential form is:

47539 = 137¹ × 347¹

Step-3: Factors of 47529

List of positive integer factors of 47529 that divides 47529 without a remainder.

1, 3, 9, 5281, 15843

Step-4: Factors of 47539

List of positive integer factors of 47539 that divides 47529 without a remainder.

1, 137, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47529 and 47539. The biggest common factor number is the GCF number.
So the greatest common factor 47529 and 47539 is 1.

Also check out the Least Common Multiple of 47529 and 47539