What is the Greatest Common Factor of 54735 and 54749?

Greatest common factor (GCF) of 54735 and 54749 is 1.

GCF(54735,54749) = 1

We will now calculate the prime factors of 54735 and 54749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54735 and 54749.

How to find the GCF of 54735 and 54749?

We will first find the prime factorization of 54735 and 54749. After we will calculate the factors of 54735 and 54749 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 54749

Prime factors of 54749 are 53, 1033. Prime factorization of 54749 in exponential form is:

54749 = 53¹ × 1033¹

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 54749

List of positive integer factors of 54749 that divides 54735 without a remainder.

1, 53, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54735 and 54749. The biggest common factor number is the GCF number.
So the greatest common factor 54735 and 54749 is 1.

Also check out the Least Common Multiple of 54735 and 54749