What is the Greatest Common Factor of 17112 and 17127?

Greatest common factor (GCF) of 17112 and 17127 is 3.

GCF(17112,17127) = 3

We will now calculate the prime factors of 17112 and 17127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17112 and 17127.

How to find the GCF of 17112 and 17127?

We will first find the prime factorization of 17112 and 17127. After we will calculate the factors of 17112 and 17127 and find the biggest common factor number .

Step-1: Prime Factorization of 17112

Prime factors of 17112 are 2, 3, 23, 31. Prime factorization of 17112 in exponential form is:

17112 = 2³ × 3¹ × 23¹ × 31¹

Step-2: Prime Factorization of 17127

Prime factors of 17127 are 3, 11, 173. Prime factorization of 17127 in exponential form is:

17127 = 3² × 11¹ × 173¹

Step-3: Factors of 17112

List of positive integer factors of 17112 that divides 17112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 31, 46, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 372, 552, 713, 744, 1426, 2139, 2852, 4278, 5704, 8556

Step-4: Factors of 17127

List of positive integer factors of 17127 that divides 17112 without a remainder.

1, 3, 9, 11, 33, 99, 173, 519, 1557, 1903, 5709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17112 and 17127. The biggest common factor number is the GCF number.
So the greatest common factor 17112 and 17127 is 3.

Also check out the Least Common Multiple of 17112 and 17127