What is the Greatest Common Factor of 75869 and 75888?

Greatest common factor (GCF) of 75869 and 75888 is 1.

GCF(75869,75888) = 1

We will now calculate the prime factors of 75869 and 75888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75869 and 75888.

How to find the GCF of 75869 and 75888?

We will first find the prime factorization of 75869 and 75888. After we will calculate the factors of 75869 and 75888 and find the biggest common factor number .

Step-1: Prime Factorization of 75869

Prime factors of 75869 are 75869. Prime factorization of 75869 in exponential form is:

75869 = 75869¹

Step-2: 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-3: Factors of 75869

List of positive integer factors of 75869 that divides 75869 without a remainder.

Step-4: Factors of 75888

List of positive integer factors of 75888 that divides 75869 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75869 and 75888. The biggest common factor number is the GCF number.
So the greatest common factor 75869 and 75888 is 1.

Also check out the Least Common Multiple of 75869 and 75888