What is the Greatest Common Factor of 47731 and 47749?

Greatest common factor (GCF) of 47731 and 47749 is 1.

GCF(47731,47749) = 1

We will now calculate the prime factors of 47731 and 47749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47731 and 47749.

How to find the GCF of 47731 and 47749?

We will first find the prime factorization of 47731 and 47749. After we will calculate the factors of 47731 and 47749 and find the biggest common factor number .

Step-1: Prime Factorization of 47731

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

47731 = 59¹ × 809¹

Step-2: Prime Factorization of 47749

Prime factors of 47749 are 13, 3673. Prime factorization of 47749 in exponential form is:

47749 = 13¹ × 3673¹

Step-3: Factors of 47731

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

1, 59, 809

Step-4: Factors of 47749

List of positive integer factors of 47749 that divides 47731 without a remainder.

1, 13, 3673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47731 and 47749. The biggest common factor number is the GCF number.
So the greatest common factor 47731 and 47749 is 1.

Also check out the Least Common Multiple of 47731 and 47749