What is the Greatest Common Factor of 27025 and 27040?

Greatest common factor (GCF) of 27025 and 27040 is 5.

GCF(27025,27040) = 5

We will now calculate the prime factors of 27025 and 27040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27025 and 27040.

How to find the GCF of 27025 and 27040?

We will first find the prime factorization of 27025 and 27040. After we will calculate the factors of 27025 and 27040 and find the biggest common factor number .

Step-1: Prime Factorization of 27025

Prime factors of 27025 are 5, 23, 47. Prime factorization of 27025 in exponential form is:

27025 = 5² × 23¹ × 47¹

Step-2: 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-3: Factors of 27025

List of positive integer factors of 27025 that divides 27025 without a remainder.

1, 5, 23, 25, 47, 115, 235, 575, 1081, 1175, 5405

Step-4: Factors of 27040

List of positive integer factors of 27040 that divides 27025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27025 and 27040. The biggest common factor number is the GCF number.
So the greatest common factor 27025 and 27040 is 5.

Also check out the Least Common Multiple of 27025 and 27040