What is the Greatest Common Factor of 47547 and 47567?

Greatest common factor (GCF) of 47547 and 47567 is 1.

GCF(47547,47567) = 1

We will now calculate the prime factors of 47547 and 47567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47547 and 47567.

How to find the GCF of 47547 and 47567?

We will first find the prime factorization of 47547 and 47567. After we will calculate the factors of 47547 and 47567 and find the biggest common factor number .

Step-1: Prime Factorization of 47547

Prime factors of 47547 are 3, 587. Prime factorization of 47547 in exponential form is:

47547 = 3⁴ × 587¹

Step-2: Prime Factorization of 47567

Prime factors of 47567 are 13, 3659. Prime factorization of 47567 in exponential form is:

47567 = 13¹ × 3659¹

Step-3: Factors of 47547

List of positive integer factors of 47547 that divides 47547 without a remainder.

1, 3, 9, 27, 81, 587, 1761, 5283, 15849

Step-4: Factors of 47567

List of positive integer factors of 47567 that divides 47547 without a remainder.

1, 13, 3659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47547 and 47567. The biggest common factor number is the GCF number.
So the greatest common factor 47547 and 47567 is 1.

Also check out the Least Common Multiple of 47547 and 47567