What is the Greatest Common Factor of 85890 and 85900?

Greatest common factor (GCF) of 85890 and 85900 is 10.

GCF(85890,85900) = 10

We will now calculate the prime factors of 85890 and 85900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85890 and 85900.

How to find the GCF of 85890 and 85900?

We will first find the prime factorization of 85890 and 85900. After we will calculate the factors of 85890 and 85900 and find the biggest common factor number .

Step-1: Prime Factorization of 85890

Prime factors of 85890 are 2, 3, 5, 7, 409. Prime factorization of 85890 in exponential form is:

85890 = 2¹ × 3¹ × 5¹ × 7¹ × 409¹

Step-2: Prime Factorization of 85900

Prime factors of 85900 are 2, 5, 859. Prime factorization of 85900 in exponential form is:

85900 = 2² × 5² × 859¹

Step-3: Factors of 85890

List of positive integer factors of 85890 that divides 85890 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 409, 818, 1227, 2045, 2454, 2863, 4090, 5726, 6135, 8589, 12270, 14315, 17178, 28630, 42945

Step-4: Factors of 85900

List of positive integer factors of 85900 that divides 85890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 859, 1718, 3436, 4295, 8590, 17180, 21475, 42950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85890 and 85900. The biggest common factor number is the GCF number.
So the greatest common factor 85890 and 85900 is 10.

Also check out the Least Common Multiple of 85890 and 85900