What is the Greatest Common Factor of 47723 and 47731?

Greatest common factor (GCF) of 47723 and 47731 is 1.

GCF(47723,47731) = 1

We will now calculate the prime factors of 47723 and 47731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47723 and 47731.

How to find the GCF of 47723 and 47731?

We will first find the prime factorization of 47723 and 47731. After we will calculate the factors of 47723 and 47731 and find the biggest common factor number .

Step-1: Prime Factorization of 47723

Prime factors of 47723 are 13, 3671. Prime factorization of 47723 in exponential form is:

47723 = 13¹ × 3671¹

Step-2: Prime Factorization of 47731

Prime factors of 47731 are 59, 809. Prime factorization of 47731 in exponential form is:

47731 = 59¹ × 809¹

Step-3: Factors of 47723

List of positive integer factors of 47723 that divides 47723 without a remainder.

1, 13, 3671

Step-4: Factors of 47731

List of positive integer factors of 47731 that divides 47723 without a remainder.

1, 59, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47723 and 47731. The biggest common factor number is the GCF number.
So the greatest common factor 47723 and 47731 is 1.

Also check out the Least Common Multiple of 47723 and 47731