What is the Greatest Common Factor of 75852 and 75870?

Greatest common factor (GCF) of 75852 and 75870 is 18.

GCF(75852,75870) = 18

We will now calculate the prime factors of 75852 and 75870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75852 and 75870.

How to find the GCF of 75852 and 75870?

We will first find the prime factorization of 75852 and 75870. After we will calculate the factors of 75852 and 75870 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 75870

Prime factors of 75870 are 2, 3, 5, 281. Prime factorization of 75870 in exponential form is:

75870 = 2¹ × 3³ × 5¹ × 281¹

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 75870

List of positive integer factors of 75870 that divides 75852 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 281, 562, 843, 1405, 1686, 2529, 2810, 4215, 5058, 7587, 8430, 12645, 15174, 25290, 37935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75852 and 75870. The biggest common factor number is the GCF number.
So the greatest common factor 75852 and 75870 is 18.

Also check out the Least Common Multiple of 75852 and 75870