What is the Greatest Common Factor of 54730 and 54740?

Greatest common factor (GCF) of 54730 and 54740 is 10.

GCF(54730,54740) = 10

We will now calculate the prime factors of 54730 and 54740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54730 and 54740.

How to find the GCF of 54730 and 54740?

We will first find the prime factorization of 54730 and 54740. After we will calculate the factors of 54730 and 54740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54740

Prime factors of 54740 are 2, 5, 7, 17, 23. Prime factorization of 54740 in exponential form is:

54740 = 2² × 5¹ × 7¹ × 17¹ × 23¹

Step-3: Factors of 54730

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

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

Step-4: Factors of 54740

List of positive integer factors of 54740 that divides 54730 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 23, 28, 34, 35, 46, 68, 70, 85, 92, 115, 119, 140, 161, 170, 230, 238, 322, 340, 391, 460, 476, 595, 644, 782, 805, 1190, 1564, 1610, 1955, 2380, 2737, 3220, 3910, 5474, 7820, 10948, 13685, 27370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54730 and 54740. The biggest common factor number is the GCF number.
So the greatest common factor 54730 and 54740 is 10.

Also check out the Least Common Multiple of 54730 and 54740