What is the Greatest Common Factor of 27234 and 27247?

Greatest common factor (GCF) of 27234 and 27247 is 1.

GCF(27234,27247) = 1

We will now calculate the prime factors of 27234 and 27247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27234 and 27247.

How to find the GCF of 27234 and 27247?

We will first find the prime factorization of 27234 and 27247. After we will calculate the factors of 27234 and 27247 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 27247

Prime factors of 27247 are 11, 2477. Prime factorization of 27247 in exponential form is:

27247 = 11¹ × 2477¹

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 27247

List of positive integer factors of 27247 that divides 27234 without a remainder.

1, 11, 2477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27234 and 27247. The biggest common factor number is the GCF number.
So the greatest common factor 27234 and 27247 is 1.

Also check out the Least Common Multiple of 27234 and 27247