What is the Greatest Common Factor of 85890 and 85896?

Greatest common factor (GCF) of 85890 and 85896 is 6.

GCF(85890,85896) = 6

We will now calculate the prime factors of 85890 and 85896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85890 and 85896.

How to find the GCF of 85890 and 85896?

We will first find the prime factorization of 85890 and 85896. After we will calculate the factors of 85890 and 85896 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 85896

Prime factors of 85896 are 2, 3, 1193. Prime factorization of 85896 in exponential form is:

85896 = 2³ × 3² × 1193¹

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 85896

List of positive integer factors of 85896 that divides 85890 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1193, 2386, 3579, 4772, 7158, 9544, 10737, 14316, 21474, 28632, 42948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85890 and 85896. The biggest common factor number is the GCF number.
So the greatest common factor 85890 and 85896 is 6.

Also check out the Least Common Multiple of 85890 and 85896