What is the Greatest Common Factor of 68529 and 68544?

Greatest common factor (GCF) of 68529 and 68544 is 3.

GCF(68529,68544) = 3

We will now calculate the prime factors of 68529 and 68544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68529 and 68544.

How to find the GCF of 68529 and 68544?

We will first find the prime factorization of 68529 and 68544. After we will calculate the factors of 68529 and 68544 and find the biggest common factor number .

Step-1: Prime Factorization of 68529

Prime factors of 68529 are 3, 53, 431. Prime factorization of 68529 in exponential form is:

68529 = 3¹ × 53¹ × 431¹

Step-2: 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-3: Factors of 68529

List of positive integer factors of 68529 that divides 68529 without a remainder.

1, 3, 53, 159, 431, 1293, 22843

Step-4: Factors of 68544

List of positive integer factors of 68544 that divides 68529 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68529 and 68544. The biggest common factor number is the GCF number.
So the greatest common factor 68529 and 68544 is 3.

Also check out the Least Common Multiple of 68529 and 68544