What is the Greatest Common Factor of 68544 and 68549?

Greatest common factor (GCF) of 68544 and 68549 is 1.

GCF(68544,68549) = 1

We will now calculate the prime factors of 68544 and 68549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68544 and 68549.

How to find the GCF of 68544 and 68549?

We will first find the prime factorization of 68544 and 68549. After we will calculate the factors of 68544 and 68549 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 68549

Prime factors of 68549 are 13, 5273. Prime factorization of 68549 in exponential form is:

68549 = 13¹ × 5273¹

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 68549

List of positive integer factors of 68549 that divides 68544 without a remainder.

1, 13, 5273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68544 and 68549. The biggest common factor number is the GCF number.
So the greatest common factor 68544 and 68549 is 1.

Also check out the Least Common Multiple of 68544 and 68549