What is the Greatest Common Factor of 75852 and 75858?

Greatest common factor (GCF) of 75852 and 75858 is 6.

GCF(75852,75858) = 6

We will now calculate the prime factors of 75852 and 75858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75852 and 75858.

How to find the GCF of 75852 and 75858?

We will first find the prime factorization of 75852 and 75858. After we will calculate the factors of 75852 and 75858 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75858

Prime factors of 75858 are 2, 3, 47, 269. Prime factorization of 75858 in exponential form is:

75858 = 2¹ × 3¹ × 47¹ × 269¹

Step-3: Factors of 75852

List of positive integer factors of 75852 that divides 75852 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

Step-4: Factors of 75858

List of positive integer factors of 75858 that divides 75852 without a remainder.

1, 2, 3, 6, 47, 94, 141, 269, 282, 538, 807, 1614, 12643, 25286, 37929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75852 and 75858. The biggest common factor number is the GCF number.
So the greatest common factor 75852 and 75858 is 6.

Also check out the Least Common Multiple of 75852 and 75858