What is the Greatest Common Factor of 27040 and 27048?

Greatest common factor (GCF) of 27040 and 27048 is 8.

GCF(27040,27048) = 8

We will now calculate the prime factors of 27040 and 27048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27040 and 27048.

How to find the GCF of 27040 and 27048?

We will first find the prime factorization of 27040 and 27048. After we will calculate the factors of 27040 and 27048 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 27048

Prime factors of 27048 are 2, 3, 7, 23. Prime factorization of 27048 in exponential form is:

27048 = 2³ × 3¹ × 7² × 23¹

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 27048

List of positive integer factors of 27048 that divides 27040 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 49, 56, 69, 84, 92, 98, 138, 147, 161, 168, 184, 196, 276, 294, 322, 392, 483, 552, 588, 644, 966, 1127, 1176, 1288, 1932, 2254, 3381, 3864, 4508, 6762, 9016, 13524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27040 and 27048. The biggest common factor number is the GCF number.
So the greatest common factor 27040 and 27048 is 8.

Also check out the Least Common Multiple of 27040 and 27048