What is the Greatest Common Factor of 27355 and 27360?

Greatest common factor (GCF) of 27355 and 27360 is 5.

GCF(27355,27360) = 5

We will now calculate the prime factors of 27355 and 27360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27355 and 27360.

How to find the GCF of 27355 and 27360?

We will first find the prime factorization of 27355 and 27360. After we will calculate the factors of 27355 and 27360 and find the biggest common factor number .

Step-1: Prime Factorization of 27355

Prime factors of 27355 are 5, 5471. Prime factorization of 27355 in exponential form is:

27355 = 5¹ × 5471¹

Step-2: Prime Factorization of 27360

Prime factors of 27360 are 2, 3, 5, 19. Prime factorization of 27360 in exponential form is:

27360 = 2⁵ × 3² × 5¹ × 19¹

Step-3: Factors of 27355

List of positive integer factors of 27355 that divides 27355 without a remainder.

1, 5, 5471

Step-4: Factors of 27360

List of positive integer factors of 27360 that divides 27355 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 19, 20, 24, 30, 32, 36, 38, 40, 45, 48, 57, 60, 72, 76, 80, 90, 95, 96, 114, 120, 144, 152, 160, 171, 180, 190, 228, 240, 285, 288, 304, 342, 360, 380, 456, 480, 570, 608, 684, 720, 760, 855, 912, 1140, 1368, 1440, 1520, 1710, 1824, 2280, 2736, 3040, 3420, 4560, 5472, 6840, 9120, 13680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27355 and 27360. The biggest common factor number is the GCF number.
So the greatest common factor 27355 and 27360 is 5.

Also check out the Least Common Multiple of 27355 and 27360