What is the Greatest Common Factor of 70839 and 70848?

Greatest common factor (GCF) of 70839 and 70848 is 9.

GCF(70839,70848) = 9

We will now calculate the prime factors of 70839 and 70848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70839 and 70848.

How to find the GCF of 70839 and 70848?

We will first find the prime factorization of 70839 and 70848. After we will calculate the factors of 70839 and 70848 and find the biggest common factor number .

Step-1: Prime Factorization of 70839

Prime factors of 70839 are 3, 17, 463. Prime factorization of 70839 in exponential form is:

70839 = 3² × 17¹ × 463¹

Step-2: Prime Factorization of 70848

Prime factors of 70848 are 2, 3, 41. Prime factorization of 70848 in exponential form is:

70848 = 2⁶ × 3³ × 41¹

Step-3: Factors of 70839

List of positive integer factors of 70839 that divides 70839 without a remainder.

1, 3, 9, 17, 51, 153, 463, 1389, 4167, 7871, 23613

Step-4: Factors of 70848

List of positive integer factors of 70848 that divides 70839 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 41, 48, 54, 64, 72, 82, 96, 108, 123, 144, 164, 192, 216, 246, 288, 328, 369, 432, 492, 576, 656, 738, 864, 984, 1107, 1312, 1476, 1728, 1968, 2214, 2624, 2952, 3936, 4428, 5904, 7872, 8856, 11808, 17712, 23616, 35424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70839 and 70848. The biggest common factor number is the GCF number.
So the greatest common factor 70839 and 70848 is 9.

Also check out the Least Common Multiple of 70839 and 70848