What is the Greatest Common Factor of 70848 and 70860?

Greatest common factor (GCF) of 70848 and 70860 is 12.

GCF(70848,70860) = 12

We will now calculate the prime factors of 70848 and 70860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70848 and 70860.

How to find the GCF of 70848 and 70860?

We will first find the prime factorization of 70848 and 70860. After we will calculate the factors of 70848 and 70860 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 70860

Prime factors of 70860 are 2, 3, 5, 1181. Prime factorization of 70860 in exponential form is:

70860 = 2² × 3¹ × 5¹ × 1181¹

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 70860

List of positive integer factors of 70860 that divides 70848 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1181, 2362, 3543, 4724, 5905, 7086, 11810, 14172, 17715, 23620, 35430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70848 and 70860. The biggest common factor number is the GCF number.
So the greatest common factor 70848 and 70860 is 12.

Also check out the Least Common Multiple of 70848 and 70860