What is the Greatest Common Factor of 52741 and 52754?

Greatest common factor (GCF) of 52741 and 52754 is 13.

GCF(52741,52754) = 13

We will now calculate the prime factors of 52741 and 52754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52741 and 52754.

How to find the GCF of 52741 and 52754?

We will first find the prime factorization of 52741 and 52754. After we will calculate the factors of 52741 and 52754 and find the biggest common factor number .

Step-1: Prime Factorization of 52741

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

52741 = 13¹ × 4057¹

Step-2: Prime Factorization of 52754

Prime factors of 52754 are 2, 13, 2029. Prime factorization of 52754 in exponential form is:

52754 = 2¹ × 13¹ × 2029¹

Step-3: Factors of 52741

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

1, 13, 4057

Step-4: Factors of 52754

List of positive integer factors of 52754 that divides 52741 without a remainder.

1, 2, 13, 26, 2029, 4058, 26377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52741 and 52754. The biggest common factor number is the GCF number.
So the greatest common factor 52741 and 52754 is 13.

Also check out the Least Common Multiple of 52741 and 52754