What is the Greatest Common Factor of 54140 and 54160?

Greatest common factor (GCF) of 54140 and 54160 is 20.

GCF(54140,54160) = 20

We will now calculate the prime factors of 54140 and 54160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54140 and 54160.

How to find the GCF of 54140 and 54160?

We will first find the prime factorization of 54140 and 54160. After we will calculate the factors of 54140 and 54160 and find the biggest common factor number .

Step-1: Prime Factorization of 54140

Prime factors of 54140 are 2, 5, 2707. Prime factorization of 54140 in exponential form is:

54140 = 2² × 5¹ × 2707¹

Step-2: Prime Factorization of 54160

Prime factors of 54160 are 2, 5, 677. Prime factorization of 54160 in exponential form is:

54160 = 2⁴ × 5¹ × 677¹

Step-3: Factors of 54140

List of positive integer factors of 54140 that divides 54140 without a remainder.

1, 2, 4, 5, 10, 20, 2707, 5414, 10828, 13535, 27070

Step-4: Factors of 54160

List of positive integer factors of 54160 that divides 54140 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 677, 1354, 2708, 3385, 5416, 6770, 10832, 13540, 27080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54140 and 54160. The biggest common factor number is the GCF number.
So the greatest common factor 54140 and 54160 is 20.

Also check out the Least Common Multiple of 54140 and 54160