What is the Greatest Common Factor of 52741 and 52745?

Greatest common factor (GCF) of 52741 and 52745 is 1.

GCF(52741,52745) = 1

We will now calculate the prime factors of 52741 and 52745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52741 and 52745.

How to find the GCF of 52741 and 52745?

We will first find the prime factorization of 52741 and 52745. After we will calculate the factors of 52741 and 52745 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 52745

Prime factors of 52745 are 5, 7, 11, 137. Prime factorization of 52745 in exponential form is:

52745 = 5¹ × 7¹ × 11¹ × 137¹

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 52745

List of positive integer factors of 52745 that divides 52741 without a remainder.

1, 5, 7, 11, 35, 55, 77, 137, 385, 685, 959, 1507, 4795, 7535, 10549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52741 and 52745. The biggest common factor number is the GCF number.
So the greatest common factor 52741 and 52745 is 1.

Also check out the Least Common Multiple of 52741 and 52745