What is the Greatest Common Factor of 54735 and 54745?

Greatest common factor (GCF) of 54735 and 54745 is 5.

GCF(54735,54745) = 5

We will now calculate the prime factors of 54735 and 54745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54735 and 54745.

How to find the GCF of 54735 and 54745?

We will first find the prime factorization of 54735 and 54745. After we will calculate the factors of 54735 and 54745 and find the biggest common factor number .

Step-1: Prime Factorization of 54735

Prime factors of 54735 are 3, 5, 41, 89. Prime factorization of 54735 in exponential form is:

54735 = 3¹ × 5¹ × 41¹ × 89¹

Step-2: Prime Factorization of 54745

Prime factors of 54745 are 5, 10949. Prime factorization of 54745 in exponential form is:

54745 = 5¹ × 10949¹

Step-3: Factors of 54735

List of positive integer factors of 54735 that divides 54735 without a remainder.

1, 3, 5, 15, 41, 89, 123, 205, 267, 445, 615, 1335, 3649, 10947, 18245

Step-4: Factors of 54745

List of positive integer factors of 54745 that divides 54735 without a remainder.

1, 5, 10949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54735 and 54745. The biggest common factor number is the GCF number.
So the greatest common factor 54735 and 54745 is 5.

Also check out the Least Common Multiple of 54735 and 54745