What is the Greatest Common Factor of 27041 and 27055?

Greatest common factor (GCF) of 27041 and 27055 is 7.

GCF(27041,27055) = 7

We will now calculate the prime factors of 27041 and 27055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27041 and 27055.

How to find the GCF of 27041 and 27055?

We will first find the prime factorization of 27041 and 27055. After we will calculate the factors of 27041 and 27055 and find the biggest common factor number .

Step-1: Prime Factorization of 27041

Prime factors of 27041 are 7, 3863. Prime factorization of 27041 in exponential form is:

27041 = 7¹ × 3863¹

Step-2: Prime Factorization of 27055

Prime factors of 27055 are 5, 7, 773. Prime factorization of 27055 in exponential form is:

27055 = 5¹ × 7¹ × 773¹

Step-3: Factors of 27041

List of positive integer factors of 27041 that divides 27041 without a remainder.

1, 7, 3863

Step-4: Factors of 27055

List of positive integer factors of 27055 that divides 27041 without a remainder.

1, 5, 7, 35, 773, 3865, 5411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27041 and 27055. The biggest common factor number is the GCF number.
So the greatest common factor 27041 and 27055 is 7.

Also check out the Least Common Multiple of 27041 and 27055