What is the Greatest Common Factor of 27331 and 27349?

Greatest common factor (GCF) of 27331 and 27349 is 1.

GCF(27331,27349) = 1

We will now calculate the prime factors of 27331 and 27349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27331 and 27349.

How to find the GCF of 27331 and 27349?

We will first find the prime factorization of 27331 and 27349. After we will calculate the factors of 27331 and 27349 and find the biggest common factor number .

Step-1: Prime Factorization of 27331

Prime factors of 27331 are 151, 181. Prime factorization of 27331 in exponential form is:

27331 = 151¹ × 181¹

Step-2: Prime Factorization of 27349

Prime factors of 27349 are 7, 3907. Prime factorization of 27349 in exponential form is:

27349 = 7¹ × 3907¹

Step-3: Factors of 27331

List of positive integer factors of 27331 that divides 27331 without a remainder.

1, 151, 181

Step-4: Factors of 27349

List of positive integer factors of 27349 that divides 27331 without a remainder.

1, 7, 3907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27331 and 27349. The biggest common factor number is the GCF number.
So the greatest common factor 27331 and 27349 is 1.

Also check out the Least Common Multiple of 27331 and 27349