What is the Greatest Common Factor of 54725 and 54730?

Greatest common factor (GCF) of 54725 and 54730 is 5.

GCF(54725,54730) = 5

We will now calculate the prime factors of 54725 and 54730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54725 and 54730.

How to find the GCF of 54725 and 54730?

We will first find the prime factorization of 54725 and 54730. After we will calculate the factors of 54725 and 54730 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 54730

Prime factors of 54730 are 2, 5, 13, 421. Prime factorization of 54730 in exponential form is:

54730 = 2¹ × 5¹ × 13¹ × 421¹

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 54730

List of positive integer factors of 54730 that divides 54725 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 421, 842, 2105, 4210, 5473, 10946, 27365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54725 and 54730. The biggest common factor number is the GCF number.
So the greatest common factor 54725 and 54730 is 5.

Also check out the Least Common Multiple of 54725 and 54730