What is the Greatest Common Factor of 27112 and 27117?

Greatest common factor (GCF) of 27112 and 27117 is 1.

GCF(27112,27117) = 1

We will now calculate the prime factors of 27112 and 27117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27112 and 27117.

How to find the GCF of 27112 and 27117?

We will first find the prime factorization of 27112 and 27117. After we will calculate the factors of 27112 and 27117 and find the biggest common factor number .

Step-1: Prime Factorization of 27112

Prime factors of 27112 are 2, 3389. Prime factorization of 27112 in exponential form is:

27112 = 2³ × 3389¹

Step-2: Prime Factorization of 27117

Prime factors of 27117 are 3, 23, 131. Prime factorization of 27117 in exponential form is:

27117 = 3² × 23¹ × 131¹

Step-3: Factors of 27112

List of positive integer factors of 27112 that divides 27112 without a remainder.

1, 2, 4, 8, 3389, 6778, 13556

Step-4: Factors of 27117

List of positive integer factors of 27117 that divides 27112 without a remainder.

1, 3, 9, 23, 69, 131, 207, 393, 1179, 3013, 9039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27112 and 27117. The biggest common factor number is the GCF number.
So the greatest common factor 27112 and 27117 is 1.

Also check out the Least Common Multiple of 27112 and 27117