What is the Greatest Common Factor of 34272 and 34281?

Greatest common factor (GCF) of 34272 and 34281 is 9.

GCF(34272,34281) = 9

We will now calculate the prime factors of 34272 and 34281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34272 and 34281.

How to find the GCF of 34272 and 34281?

We will first find the prime factorization of 34272 and 34281. After we will calculate the factors of 34272 and 34281 and find the biggest common factor number .

Step-1: Prime Factorization of 34272

Prime factors of 34272 are 2, 3, 7, 17. Prime factorization of 34272 in exponential form is:

34272 = 2⁵ × 3² × 7¹ × 17¹

Step-2: Prime Factorization of 34281

Prime factors of 34281 are 3, 13, 293. Prime factorization of 34281 in exponential form is:

34281 = 3² × 13¹ × 293¹

Step-3: Factors of 34272

List of positive integer factors of 34272 that divides 34272 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, 68, 72, 84, 96, 102, 112, 119, 126, 136, 144, 153, 168, 204, 224, 238, 252, 272, 288, 306, 336, 357, 408, 476, 504, 544, 612, 672, 714, 816, 952, 1008, 1071, 1224, 1428, 1632, 1904, 2016, 2142, 2448, 2856, 3808, 4284, 4896, 5712, 8568, 11424, 17136

Step-4: Factors of 34281

List of positive integer factors of 34281 that divides 34272 without a remainder.

1, 3, 9, 13, 39, 117, 293, 879, 2637, 3809, 11427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34272 and 34281. The biggest common factor number is the GCF number.
So the greatest common factor 34272 and 34281 is 9.

Also check out the Least Common Multiple of 34272 and 34281