What is the Greatest Common Factor of 27363 and 27377?

Greatest common factor (GCF) of 27363 and 27377 is 7.

GCF(27363,27377) = 7

We will now calculate the prime factors of 27363 and 27377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27363 and 27377.

How to find the GCF of 27363 and 27377?

We will first find the prime factorization of 27363 and 27377. After we will calculate the factors of 27363 and 27377 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27377

Prime factors of 27377 are 7, 3911. Prime factorization of 27377 in exponential form is:

27377 = 7¹ × 3911¹

Step-3: Factors of 27363

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

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

Step-4: Factors of 27377

List of positive integer factors of 27377 that divides 27363 without a remainder.

1, 7, 3911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27363 and 27377. The biggest common factor number is the GCF number.
So the greatest common factor 27363 and 27377 is 7.

Also check out the Least Common Multiple of 27363 and 27377