What is the Greatest Common Factor of 69168 and 69186?

Greatest common factor (GCF) of 69168 and 69186 is 6.

GCF(69168,69186) = 6

We will now calculate the prime factors of 69168 and 69186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69168 and 69186.

How to find the GCF of 69168 and 69186?

We will first find the prime factorization of 69168 and 69186. After we will calculate the factors of 69168 and 69186 and find the biggest common factor number .

Step-1: Prime Factorization of 69168

Prime factors of 69168 are 2, 3, 11, 131. Prime factorization of 69168 in exponential form is:

69168 = 2⁴ × 3¹ × 11¹ × 131¹

Step-2: Prime Factorization of 69186

Prime factors of 69186 are 2, 3, 13, 887. Prime factorization of 69186 in exponential form is:

69186 = 2¹ × 3¹ × 13¹ × 887¹

Step-3: Factors of 69168

List of positive integer factors of 69168 that divides 69168 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 131, 132, 176, 262, 264, 393, 524, 528, 786, 1048, 1441, 1572, 2096, 2882, 3144, 4323, 5764, 6288, 8646, 11528, 17292, 23056, 34584

Step-4: Factors of 69186

List of positive integer factors of 69186 that divides 69168 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 887, 1774, 2661, 5322, 11531, 23062, 34593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69168 and 69186. The biggest common factor number is the GCF number.
So the greatest common factor 69168 and 69186 is 6.

Also check out the Least Common Multiple of 69168 and 69186