What is the Greatest Common Factor of 34272 and 34284?

Greatest common factor (GCF) of 34272 and 34284 is 12.

GCF(34272,34284) = 12

We will now calculate the prime factors of 34272 and 34284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34272 and 34284.

How to find the GCF of 34272 and 34284?

We will first find the prime factorization of 34272 and 34284. After we will calculate the factors of 34272 and 34284 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 34284

Prime factors of 34284 are 2, 3, 2857. Prime factorization of 34284 in exponential form is:

34284 = 2² × 3¹ × 2857¹

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 34284

List of positive integer factors of 34284 that divides 34272 without a remainder.

1, 2, 3, 4, 6, 12, 2857, 5714, 8571, 11428, 17142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34272 and 34284. The biggest common factor number is the GCF number.
So the greatest common factor 34272 and 34284 is 12.

Also check out the Least Common Multiple of 34272 and 34284