What is the Greatest Common Factor of 54725 and 54745?

Greatest common factor (GCF) of 54725 and 54745 is 5.

GCF(54725,54745) = 5

We will now calculate the prime factors of 54725 and 54745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54725 and 54745.

How to find the GCF of 54725 and 54745?

We will first find the prime factorization of 54725 and 54745. After we will calculate the factors of 54725 and 54745 and find the biggest common factor number .

Step-1: Prime Factorization of 54725

Prime factors of 54725 are 5, 11, 199. Prime factorization of 54725 in exponential form is:

54725 = 5² × 11¹ × 199¹

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 54725

List of positive integer factors of 54725 that divides 54725 without a remainder.

1, 5, 11, 25, 55, 199, 275, 995, 2189, 4975, 10945

Step-4: Factors of 54745

List of positive integer factors of 54745 that divides 54725 without a remainder.

1, 5, 10949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54725 and 54745. The biggest common factor number is the GCF number.
So the greatest common factor 54725 and 54745 is 5.

Also check out the Least Common Multiple of 54725 and 54745