What is the Greatest Common Factor of 70836 and 70848?

Greatest common factor (GCF) of 70836 and 70848 is 12.

GCF(70836,70848) = 12

We will now calculate the prime factors of 70836 and 70848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70836 and 70848.

How to find the GCF of 70836 and 70848?

We will first find the prime factorization of 70836 and 70848. After we will calculate the factors of 70836 and 70848 and find the biggest common factor number .

Step-1: Prime Factorization of 70836

Prime factors of 70836 are 2, 3, 5903. Prime factorization of 70836 in exponential form is:

70836 = 2² × 3¹ × 5903¹

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 70836

List of positive integer factors of 70836 that divides 70836 without a remainder.

1, 2, 3, 4, 6, 12, 5903, 11806, 17709, 23612, 35418

Step-4: Factors of 70848

List of positive integer factors of 70848 that divides 70836 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 70836 and 70848. The biggest common factor number is the GCF number.
So the greatest common factor 70836 and 70848 is 12.

Also check out the Least Common Multiple of 70836 and 70848