What is the Greatest Common Factor of 27264 and 27275?

Greatest common factor (GCF) of 27264 and 27275 is 1.

GCF(27264,27275) = 1

We will now calculate the prime factors of 27264 and 27275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27264 and 27275.

How to find the GCF of 27264 and 27275?

We will first find the prime factorization of 27264 and 27275. After we will calculate the factors of 27264 and 27275 and find the biggest common factor number .

Step-1: Prime Factorization of 27264

Prime factors of 27264 are 2, 3, 71. Prime factorization of 27264 in exponential form is:

27264 = 2⁷ × 3¹ × 71¹

Step-2: Prime Factorization of 27275

Prime factors of 27275 are 5, 1091. Prime factorization of 27275 in exponential form is:

27275 = 5² × 1091¹

Step-3: Factors of 27264

List of positive integer factors of 27264 that divides 27264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 128, 142, 192, 213, 284, 384, 426, 568, 852, 1136, 1704, 2272, 3408, 4544, 6816, 9088, 13632

Step-4: Factors of 27275

List of positive integer factors of 27275 that divides 27264 without a remainder.

1, 5, 25, 1091, 5455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27264 and 27275. The biggest common factor number is the GCF number.
So the greatest common factor 27264 and 27275 is 1.

Also check out the Least Common Multiple of 27264 and 27275