What is the Greatest Common Factor of 70848 and 70864?

Greatest common factor (GCF) of 70848 and 70864 is 16.

GCF(70848,70864) = 16

We will now calculate the prime factors of 70848 and 70864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70848 and 70864.

How to find the GCF of 70848 and 70864?

We will first find the prime factorization of 70848 and 70864. After we will calculate the factors of 70848 and 70864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70864

Prime factors of 70864 are 2, 43, 103. Prime factorization of 70864 in exponential form is:

70864 = 2⁴ × 43¹ × 103¹

Step-3: Factors of 70848

List of positive integer factors of 70848 that divides 70848 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

Step-4: Factors of 70864

List of positive integer factors of 70864 that divides 70848 without a remainder.

1, 2, 4, 8, 16, 43, 86, 103, 172, 206, 344, 412, 688, 824, 1648, 4429, 8858, 17716, 35432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70848 and 70864. The biggest common factor number is the GCF number.
So the greatest common factor 70848 and 70864 is 16.

Also check out the Least Common Multiple of 70848 and 70864