What is the Greatest Common Factor of 75834 and 75852?

Greatest common factor (GCF) of 75834 and 75852 is 18.

GCF(75834,75852) = 18

We will now calculate the prime factors of 75834 and 75852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75834 and 75852.

How to find the GCF of 75834 and 75852?

We will first find the prime factorization of 75834 and 75852. After we will calculate the factors of 75834 and 75852 and find the biggest common factor number .

Step-1: Prime Factorization of 75834

Prime factors of 75834 are 2, 3, 11, 383. Prime factorization of 75834 in exponential form is:

75834 = 2¹ × 3² × 11¹ × 383¹

Step-2: Prime Factorization of 75852

Prime factors of 75852 are 2, 3, 7, 43. Prime factorization of 75852 in exponential form is:

75852 = 2² × 3² × 7² × 43¹

Step-3: Factors of 75834

List of positive integer factors of 75834 that divides 75834 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 383, 766, 1149, 2298, 3447, 4213, 6894, 8426, 12639, 25278, 37917

Step-4: Factors of 75852

List of positive integer factors of 75852 that divides 75834 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 43, 49, 63, 84, 86, 98, 126, 129, 147, 172, 196, 252, 258, 294, 301, 387, 441, 516, 588, 602, 774, 882, 903, 1204, 1548, 1764, 1806, 2107, 2709, 3612, 4214, 5418, 6321, 8428, 10836, 12642, 18963, 25284, 37926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75834 and 75852. The biggest common factor number is the GCF number.
So the greatest common factor 75834 and 75852 is 18.

Also check out the Least Common Multiple of 75834 and 75852