What is the Greatest Common Factor of 27349 and 27363?

Greatest common factor (GCF) of 27349 and 27363 is 7.

GCF(27349,27363) = 7

We will now calculate the prime factors of 27349 and 27363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27349 and 27363.

How to find the GCF of 27349 and 27363?

We will first find the prime factorization of 27349 and 27363. After we will calculate the factors of 27349 and 27363 and find the biggest common factor number .

Step-1: Prime Factorization of 27349

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

27349 = 7¹ × 3907¹

Step-2: Prime Factorization of 27363

Prime factors of 27363 are 3, 7, 1303. Prime factorization of 27363 in exponential form is:

27363 = 3¹ × 7¹ × 1303¹

Step-3: Factors of 27349

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

1, 7, 3907

Step-4: Factors of 27363

List of positive integer factors of 27363 that divides 27349 without a remainder.

1, 3, 7, 21, 1303, 3909, 9121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27349 and 27363. The biggest common factor number is the GCF number.
So the greatest common factor 27349 and 27363 is 7.

Also check out the Least Common Multiple of 27349 and 27363