What is the Greatest Common Factor of 27360 and 27364?

Greatest common factor (GCF) of 27360 and 27364 is 4.

GCF(27360,27364) = 4

We will now calculate the prime factors of 27360 and 27364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27360 and 27364.

How to find the GCF of 27360 and 27364?

We will first find the prime factorization of 27360 and 27364. After we will calculate the factors of 27360 and 27364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27364

Prime factors of 27364 are 2, 6841. Prime factorization of 27364 in exponential form is:

27364 = 2² × 6841¹

Step-3: Factors of 27360

List of positive integer factors of 27360 that divides 27360 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

Step-4: Factors of 27364

List of positive integer factors of 27364 that divides 27360 without a remainder.

1, 2, 4, 6841, 13682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27360 and 27364. The biggest common factor number is the GCF number.
So the greatest common factor 27360 and 27364 is 4.

Also check out the Least Common Multiple of 27360 and 27364