What is the Greatest Common Factor of 54080 and 54100?

Greatest common factor (GCF) of 54080 and 54100 is 20.

GCF(54080,54100) = 20

We will now calculate the prime factors of 54080 and 54100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54080 and 54100.

How to find the GCF of 54080 and 54100?

We will first find the prime factorization of 54080 and 54100. After we will calculate the factors of 54080 and 54100 and find the biggest common factor number .

Step-1: Prime Factorization of 54080

Prime factors of 54080 are 2, 5, 13. Prime factorization of 54080 in exponential form is:

54080 = 2⁶ × 5¹ × 13²

Step-2: Prime Factorization of 54100

Prime factors of 54100 are 2, 5, 541. Prime factorization of 54100 in exponential form is:

54100 = 2² × 5² × 541¹

Step-3: Factors of 54080

List of positive integer factors of 54080 that divides 54080 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 169, 208, 260, 320, 338, 416, 520, 676, 832, 845, 1040, 1352, 1690, 2080, 2704, 3380, 4160, 5408, 6760, 10816, 13520, 27040

Step-4: Factors of 54100

List of positive integer factors of 54100 that divides 54080 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 541, 1082, 2164, 2705, 5410, 10820, 13525, 27050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54080 and 54100. The biggest common factor number is the GCF number.
So the greatest common factor 54080 and 54100 is 20.

Also check out the Least Common Multiple of 54080 and 54100