What is the Greatest Common Factor of 54740 and 54760?

Greatest common factor (GCF) of 54740 and 54760 is 20.

GCF(54740,54760) = 20

We will now calculate the prime factors of 54740 and 54760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54740 and 54760.

How to find the GCF of 54740 and 54760?

We will first find the prime factorization of 54740 and 54760. After we will calculate the factors of 54740 and 54760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54760

Prime factors of 54760 are 2, 5, 37. Prime factorization of 54760 in exponential form is:

54760 = 2³ × 5¹ × 37²

Step-3: Factors of 54740

List of positive integer factors of 54740 that divides 54740 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

Step-4: Factors of 54760

List of positive integer factors of 54760 that divides 54740 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1369, 1480, 2738, 5476, 6845, 10952, 13690, 27380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54740 and 54760. The biggest common factor number is the GCF number.
So the greatest common factor 54740 and 54760 is 20.

Also check out the Least Common Multiple of 54740 and 54760