What is the Greatest Common Factor of 52731 and 52741?

Greatest common factor (GCF) of 52731 and 52741 is 1.

GCF(52731,52741) = 1

We will now calculate the prime factors of 52731 and 52741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52731 and 52741.

How to find the GCF of 52731 and 52741?

We will first find the prime factorization of 52731 and 52741. After we will calculate the factors of 52731 and 52741 and find the biggest common factor number .

Step-1: Prime Factorization of 52731

Prime factors of 52731 are 3, 7, 31. Prime factorization of 52731 in exponential form is:

52731 = 3⁵ × 7¹ × 31¹

Step-2: Prime Factorization of 52741

Prime factors of 52741 are 13, 4057. Prime factorization of 52741 in exponential form is:

52741 = 13¹ × 4057¹

Step-3: Factors of 52731

List of positive integer factors of 52731 that divides 52731 without a remainder.

1, 3, 7, 9, 21, 27, 31, 63, 81, 93, 189, 217, 243, 279, 567, 651, 837, 1701, 1953, 2511, 5859, 7533, 17577

Step-4: Factors of 52741

List of positive integer factors of 52741 that divides 52731 without a remainder.

1, 13, 4057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52731 and 52741. The biggest common factor number is the GCF number.
So the greatest common factor 52731 and 52741 is 1.

Also check out the Least Common Multiple of 52731 and 52741