What is the Greatest Common Factor of 54080 and 54090?

Greatest common factor (GCF) of 54080 and 54090 is 10.

GCF(54080,54090) = 10

We will now calculate the prime factors of 54080 and 54090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54080 and 54090.

How to find the GCF of 54080 and 54090?

We will first find the prime factorization of 54080 and 54090. After we will calculate the factors of 54080 and 54090 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 54090

Prime factors of 54090 are 2, 3, 5, 601. Prime factorization of 54090 in exponential form is:

54090 = 2¹ × 3² × 5¹ × 601¹

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 54090

List of positive integer factors of 54090 that divides 54080 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 601, 1202, 1803, 3005, 3606, 5409, 6010, 9015, 10818, 18030, 27045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54080 and 54090. The biggest common factor number is the GCF number.
So the greatest common factor 54080 and 54090 is 10.

Also check out the Least Common Multiple of 54080 and 54090