What is the Greatest Common Factor of 54735 and 54755?

Greatest common factor (GCF) of 54735 and 54755 is 5.

GCF(54735,54755) = 5

We will now calculate the prime factors of 54735 and 54755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54735 and 54755.

How to find the GCF of 54735 and 54755?

We will first find the prime factorization of 54735 and 54755. After we will calculate the factors of 54735 and 54755 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 54755

Prime factors of 54755 are 5, 47, 233. Prime factorization of 54755 in exponential form is:

54755 = 5¹ × 47¹ × 233¹

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 54755

List of positive integer factors of 54755 that divides 54735 without a remainder.

1, 5, 47, 233, 235, 1165, 10951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54735 and 54755. The biggest common factor number is the GCF number.
So the greatest common factor 54735 and 54755 is 5.

Also check out the Least Common Multiple of 54735 and 54755