What is the Greatest Common Factor of 54740 and 54754?

Greatest common factor (GCF) of 54740 and 54754 is 14.

GCF(54740,54754) = 14

We will now calculate the prime factors of 54740 and 54754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54740 and 54754.

How to find the GCF of 54740 and 54754?

We will first find the prime factorization of 54740 and 54754. After we will calculate the factors of 54740 and 54754 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 54754

Prime factors of 54754 are 2, 7, 3911. Prime factorization of 54754 in exponential form is:

54754 = 2¹ × 7¹ × 3911¹

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 54754

List of positive integer factors of 54754 that divides 54740 without a remainder.

1, 2, 7, 14, 3911, 7822, 27377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54740 and 54754. The biggest common factor number is the GCF number.
So the greatest common factor 54740 and 54754 is 14.

Also check out the Least Common Multiple of 54740 and 54754