What is the Greatest Common Factor of 85871 and 85890?

Greatest common factor (GCF) of 85871 and 85890 is 1.

GCF(85871,85890) = 1

We will now calculate the prime factors of 85871 and 85890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85871 and 85890.

How to find the GCF of 85871 and 85890?

We will first find the prime factorization of 85871 and 85890. After we will calculate the factors of 85871 and 85890 and find the biggest common factor number .

Step-1: Prime Factorization of 85871

Prime factors of 85871 are 43, 1997. Prime factorization of 85871 in exponential form is:

85871 = 43¹ × 1997¹

Step-2: 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-3: Factors of 85871

List of positive integer factors of 85871 that divides 85871 without a remainder.

1, 43, 1997

Step-4: Factors of 85890

List of positive integer factors of 85890 that divides 85871 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85871 and 85890. The biggest common factor number is the GCF number.
So the greatest common factor 85871 and 85890 is 1.

Also check out the Least Common Multiple of 85871 and 85890