What is the Greatest Common Factor of 27100 and 27119?

Greatest common factor (GCF) of 27100 and 27119 is 1.

GCF(27100,27119) = 1

We will now calculate the prime factors of 27100 and 27119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27100 and 27119.

How to find the GCF of 27100 and 27119?

We will first find the prime factorization of 27100 and 27119. After we will calculate the factors of 27100 and 27119 and find the biggest common factor number .

Step-1: Prime Factorization of 27100

Prime factors of 27100 are 2, 5, 271. Prime factorization of 27100 in exponential form is:

27100 = 2² × 5² × 271¹

Step-2: Prime Factorization of 27119

Prime factors of 27119 are 47, 577. Prime factorization of 27119 in exponential form is:

27119 = 47¹ × 577¹

Step-3: Factors of 27100

List of positive integer factors of 27100 that divides 27100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 271, 542, 1084, 1355, 2710, 5420, 6775, 13550

Step-4: Factors of 27119

List of positive integer factors of 27119 that divides 27100 without a remainder.

1, 47, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27100 and 27119. The biggest common factor number is the GCF number.
So the greatest common factor 27100 and 27119 is 1.

Also check out the Least Common Multiple of 27100 and 27119