What is the Greatest Common Factor of 69156 and 69168?

Greatest common factor (GCF) of 69156 and 69168 is 12.

GCF(69156,69168) = 12

We will now calculate the prime factors of 69156 and 69168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69156 and 69168.

How to find the GCF of 69156 and 69168?

We will first find the prime factorization of 69156 and 69168. After we will calculate the factors of 69156 and 69168 and find the biggest common factor number .

Step-1: Prime Factorization of 69156

Prime factors of 69156 are 2, 3, 17, 113. Prime factorization of 69156 in exponential form is:

69156 = 2² × 3² × 17¹ × 113¹

Step-2: 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-3: Factors of 69156

List of positive integer factors of 69156 that divides 69156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 113, 153, 204, 226, 306, 339, 452, 612, 678, 1017, 1356, 1921, 2034, 3842, 4068, 5763, 7684, 11526, 17289, 23052, 34578

Step-4: Factors of 69168

List of positive integer factors of 69168 that divides 69156 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69156 and 69168. The biggest common factor number is the GCF number.
So the greatest common factor 69156 and 69168 is 12.

Also check out the Least Common Multiple of 69156 and 69168