What is the Greatest Common Factor of 69144 and 69156?

Greatest common factor (GCF) of 69144 and 69156 is 12.

GCF(69144,69156) = 12

We will now calculate the prime factors of 69144 and 69156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69144 and 69156.

How to find the GCF of 69144 and 69156?

We will first find the prime factorization of 69144 and 69156. After we will calculate the factors of 69144 and 69156 and find the biggest common factor number .

Step-1: Prime Factorization of 69144

Prime factors of 69144 are 2, 3, 43, 67. Prime factorization of 69144 in exponential form is:

69144 = 2³ × 3¹ × 43¹ × 67¹

Step-2: 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-3: Factors of 69144

List of positive integer factors of 69144 that divides 69144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 67, 86, 129, 134, 172, 201, 258, 268, 344, 402, 516, 536, 804, 1032, 1608, 2881, 5762, 8643, 11524, 17286, 23048, 34572

Step-4: Factors of 69156

List of positive integer factors of 69156 that divides 69144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69144 and 69156. The biggest common factor number is the GCF number.
So the greatest common factor 69144 and 69156 is 12.

Also check out the Least Common Multiple of 69144 and 69156