What is the Greatest Common Factor of 47536 and 47543?

Greatest common factor (GCF) of 47536 and 47543 is 1.

GCF(47536,47543) = 1

We will now calculate the prime factors of 47536 and 47543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47536 and 47543.

How to find the GCF of 47536 and 47543?

We will first find the prime factorization of 47536 and 47543. After we will calculate the factors of 47536 and 47543 and find the biggest common factor number .

Step-1: Prime Factorization of 47536

Prime factors of 47536 are 2, 2971. Prime factorization of 47536 in exponential form is:

47536 = 2⁴ × 2971¹

Step-2: Prime Factorization of 47543

Prime factors of 47543 are 47543. Prime factorization of 47543 in exponential form is:

47543 = 47543¹

Step-3: Factors of 47536

List of positive integer factors of 47536 that divides 47536 without a remainder.

1, 2, 4, 8, 16, 2971, 5942, 11884, 23768

Step-4: Factors of 47543

List of positive integer factors of 47543 that divides 47536 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47536 and 47543. The biggest common factor number is the GCF number.
So the greatest common factor 47536 and 47543 is 1.

Also check out the Least Common Multiple of 47536 and 47543