What is the Greatest Common Factor of 27040 and 27045?

Greatest common factor (GCF) of 27040 and 27045 is 5.

GCF(27040,27045) = 5

We will now calculate the prime factors of 27040 and 27045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27040 and 27045.

How to find the GCF of 27040 and 27045?

We will first find the prime factorization of 27040 and 27045. After we will calculate the factors of 27040 and 27045 and find the biggest common factor number .

Step-1: Prime Factorization of 27040

Prime factors of 27040 are 2, 5, 13. Prime factorization of 27040 in exponential form is:

27040 = 2⁵ × 5¹ × 13²

Step-2: Prime Factorization of 27045

Prime factors of 27045 are 3, 5, 601. Prime factorization of 27045 in exponential form is:

27045 = 3² × 5¹ × 601¹

Step-3: Factors of 27040

List of positive integer factors of 27040 that divides 27040 without a remainder.

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

Step-4: Factors of 27045

List of positive integer factors of 27045 that divides 27040 without a remainder.

1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27040 and 27045. The biggest common factor number is the GCF number.
So the greatest common factor 27040 and 27045 is 5.

Also check out the Least Common Multiple of 27040 and 27045