What is the Greatest Common Factor of 68544 and 68561?

Greatest common factor (GCF) of 68544 and 68561 is 17.

GCF(68544,68561) = 17

We will now calculate the prime factors of 68544 and 68561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68544 and 68561.

How to find the GCF of 68544 and 68561?

We will first find the prime factorization of 68544 and 68561. After we will calculate the factors of 68544 and 68561 and find the biggest common factor number .

Step-1: Prime Factorization of 68544

Prime factors of 68544 are 2, 3, 7, 17. Prime factorization of 68544 in exponential form is:

68544 = 2⁶ × 3² × 7¹ × 17¹

Step-2: Prime Factorization of 68561

Prime factors of 68561 are 17, 37, 109. Prime factorization of 68561 in exponential form is:

68561 = 17¹ × 37¹ × 109¹

Step-3: Factors of 68544

List of positive integer factors of 68544 that divides 68544 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 21, 24, 28, 32, 34, 36, 42, 48, 51, 56, 63, 64, 68, 72, 84, 96, 102, 112, 119, 126, 136, 144, 153, 168, 192, 204, 224, 238, 252, 272, 288, 306, 336, 357, 408, 448, 476, 504, 544, 576, 612, 672, 714, 816, 952, 1008, 1071, 1088, 1224, 1344, 1428, 1632, 1904, 2016, 2142, 2448, 2856, 3264, 3808, 4032, 4284, 4896, 5712, 7616, 8568, 9792, 11424, 17136, 22848, 34272

Step-4: Factors of 68561

List of positive integer factors of 68561 that divides 68544 without a remainder.

1, 17, 37, 109, 629, 1853, 4033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68544 and 68561. The biggest common factor number is the GCF number.
So the greatest common factor 68544 and 68561 is 17.

Also check out the Least Common Multiple of 68544 and 68561