What is the Greatest Common Factor of 54735 and 54742?

Greatest common factor (GCF) of 54735 and 54742 is 1.

GCF(54735,54742) = 1

We will now calculate the prime factors of 54735 and 54742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54735 and 54742.

How to find the GCF of 54735 and 54742?

We will first find the prime factorization of 54735 and 54742. After we will calculate the factors of 54735 and 54742 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 54742

Prime factors of 54742 are 2, 101, 271. Prime factorization of 54742 in exponential form is:

54742 = 2¹ × 101¹ × 271¹

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 54742

List of positive integer factors of 54742 that divides 54735 without a remainder.

1, 2, 101, 202, 271, 542, 27371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54735 and 54742. The biggest common factor number is the GCF number.
So the greatest common factor 54735 and 54742 is 1.

Also check out the Least Common Multiple of 54735 and 54742