What is the Greatest Common Factor of 85875 and 85888?

Greatest common factor (GCF) of 85875 and 85888 is 1.

GCF(85875,85888) = 1

We will now calculate the prime factors of 85875 and 85888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85875 and 85888.

How to find the GCF of 85875 and 85888?

We will first find the prime factorization of 85875 and 85888. After we will calculate the factors of 85875 and 85888 and find the biggest common factor number .

Step-1: Prime Factorization of 85875

Prime factors of 85875 are 3, 5, 229. Prime factorization of 85875 in exponential form is:

85875 = 3¹ × 5³ × 229¹

Step-2: Prime Factorization of 85888

Prime factors of 85888 are 2, 11, 61. Prime factorization of 85888 in exponential form is:

85888 = 2⁷ × 11¹ × 61¹

Step-3: Factors of 85875

List of positive integer factors of 85875 that divides 85875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 229, 375, 687, 1145, 3435, 5725, 17175, 28625

Step-4: Factors of 85888

List of positive integer factors of 85888 that divides 85875 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 64, 88, 122, 128, 176, 244, 352, 488, 671, 704, 976, 1342, 1408, 1952, 2684, 3904, 5368, 7808, 10736, 21472, 42944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85875 and 85888. The biggest common factor number is the GCF number.
So the greatest common factor 85875 and 85888 is 1.

Also check out the Least Common Multiple of 85875 and 85888