What is the Greatest Common Factor of 85869 and 85875?

Greatest common factor (GCF) of 85869 and 85875 is 3.

GCF(85869,85875) = 3

We will now calculate the prime factors of 85869 and 85875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85869 and 85875.

How to find the GCF of 85869 and 85875?

We will first find the prime factorization of 85869 and 85875. After we will calculate the factors of 85869 and 85875 and find the biggest common factor number .

Step-1: Prime Factorization of 85869

Prime factors of 85869 are 3, 7, 29, 47. Prime factorization of 85869 in exponential form is:

85869 = 3² × 7¹ × 29¹ × 47¹

Step-2: 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-3: Factors of 85869

List of positive integer factors of 85869 that divides 85869 without a remainder.

1, 3, 7, 9, 21, 29, 47, 63, 87, 141, 203, 261, 329, 423, 609, 987, 1363, 1827, 2961, 4089, 9541, 12267, 28623

Step-4: Factors of 85875

List of positive integer factors of 85875 that divides 85869 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85869 and 85875. The biggest common factor number is the GCF number.
So the greatest common factor 85869 and 85875 is 3.

Also check out the Least Common Multiple of 85869 and 85875