What is the Greatest Common Factor of 27234 and 27253?

Greatest common factor (GCF) of 27234 and 27253 is 1.

GCF(27234,27253) = 1

We will now calculate the prime factors of 27234 and 27253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27234 and 27253.

How to find the GCF of 27234 and 27253?

We will first find the prime factorization of 27234 and 27253. After we will calculate the factors of 27234 and 27253 and find the biggest common factor number .

Step-1: Prime Factorization of 27234

Prime factors of 27234 are 2, 3, 17, 89. Prime factorization of 27234 in exponential form is:

27234 = 2¹ × 3² × 17¹ × 89¹

Step-2: Prime Factorization of 27253

Prime factors of 27253 are 27253. Prime factorization of 27253 in exponential form is:

27253 = 27253¹

Step-3: Factors of 27234

List of positive integer factors of 27234 that divides 27234 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 89, 102, 153, 178, 267, 306, 534, 801, 1513, 1602, 3026, 4539, 9078, 13617

Step-4: Factors of 27253

List of positive integer factors of 27253 that divides 27234 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27234 and 27253. The biggest common factor number is the GCF number.
So the greatest common factor 27234 and 27253 is 1.

Also check out the Least Common Multiple of 27234 and 27253