What is the Greatest Common Factor of 54740 and 54757?

Greatest common factor (GCF) of 54740 and 54757 is 17.

GCF(54740,54757) = 17

We will now calculate the prime factors of 54740 and 54757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54740 and 54757.

How to find the GCF of 54740 and 54757?

We will first find the prime factorization of 54740 and 54757. After we will calculate the factors of 54740 and 54757 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 54757

Prime factors of 54757 are 17, 3221. Prime factorization of 54757 in exponential form is:

54757 = 17¹ × 3221¹

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 54757

List of positive integer factors of 54757 that divides 54740 without a remainder.

1, 17, 3221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54740 and 54757. The biggest common factor number is the GCF number.
So the greatest common factor 54740 and 54757 is 17.

Also check out the Least Common Multiple of 54740 and 54757