What is the Greatest Common Factor of 75858 and 75864?

Greatest common factor (GCF) of 75858 and 75864 is 6.

GCF(75858,75864) = 6

We will now calculate the prime factors of 75858 and 75864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75858 and 75864.

How to find the GCF of 75858 and 75864?

We will first find the prime factorization of 75858 and 75864. After we will calculate the factors of 75858 and 75864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75864

Prime factors of 75864 are 2, 3, 29, 109. Prime factorization of 75864 in exponential form is:

75864 = 2³ × 3¹ × 29¹ × 109¹

Step-3: Factors of 75858

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

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

Step-4: Factors of 75864

List of positive integer factors of 75864 that divides 75858 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 109, 116, 174, 218, 232, 327, 348, 436, 654, 696, 872, 1308, 2616, 3161, 6322, 9483, 12644, 18966, 25288, 37932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75858 and 75864. The biggest common factor number is the GCF number.
So the greatest common factor 75858 and 75864 is 6.

Also check out the Least Common Multiple of 75858 and 75864