What is the Greatest Common Factor of 75852 and 75859?

Greatest common factor (GCF) of 75852 and 75859 is 7.

GCF(75852,75859) = 7

We will now calculate the prime factors of 75852 and 75859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75852 and 75859.

How to find the GCF of 75852 and 75859?

We will first find the prime factorization of 75852 and 75859. After we will calculate the factors of 75852 and 75859 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 75859

Prime factors of 75859 are 7, 10837. Prime factorization of 75859 in exponential form is:

75859 = 7¹ × 10837¹

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 75859

List of positive integer factors of 75859 that divides 75852 without a remainder.

1, 7, 10837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75852 and 75859. The biggest common factor number is the GCF number.
So the greatest common factor 75852 and 75859 is 7.

Also check out the Least Common Multiple of 75852 and 75859