What is the Greatest Common Factor of 75888 and 75903?

Greatest common factor (GCF) of 75888 and 75903 is 3.

GCF(75888,75903) = 3

We will now calculate the prime factors of 75888 and 75903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75888 and 75903.

How to find the GCF of 75888 and 75903?

We will first find the prime factorization of 75888 and 75903. After we will calculate the factors of 75888 and 75903 and find the biggest common factor number .

Step-1: Prime Factorization of 75888

Prime factors of 75888 are 2, 3, 17, 31. Prime factorization of 75888 in exponential form is:

75888 = 2⁴ × 3² × 17¹ × 31¹

Step-2: Prime Factorization of 75903

Prime factors of 75903 are 3, 25301. Prime factorization of 75903 in exponential form is:

75903 = 3¹ × 25301¹

Step-3: Factors of 75888

List of positive integer factors of 75888 that divides 75888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 31, 34, 36, 48, 51, 62, 68, 72, 93, 102, 124, 136, 144, 153, 186, 204, 248, 272, 279, 306, 372, 408, 496, 527, 558, 612, 744, 816, 1054, 1116, 1224, 1488, 1581, 2108, 2232, 2448, 3162, 4216, 4464, 4743, 6324, 8432, 9486, 12648, 18972, 25296, 37944

Step-4: Factors of 75903

List of positive integer factors of 75903 that divides 75888 without a remainder.

1, 3, 25301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75888 and 75903. The biggest common factor number is the GCF number.
So the greatest common factor 75888 and 75903 is 3.

Also check out the Least Common Multiple of 75888 and 75903