What is the Greatest Common Factor of 85890 and 85909?

Greatest common factor (GCF) of 85890 and 85909 is 1.

GCF(85890,85909) = 1

We will now calculate the prime factors of 85890 and 85909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85890 and 85909.

How to find the GCF of 85890 and 85909?

We will first find the prime factorization of 85890 and 85909. After we will calculate the factors of 85890 and 85909 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 85909

Prime factors of 85909 are 85909. Prime factorization of 85909 in exponential form is:

85909 = 85909¹

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 85909

List of positive integer factors of 85909 that divides 85890 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85890 and 85909. The biggest common factor number is the GCF number.
So the greatest common factor 85890 and 85909 is 1.

Also check out the Least Common Multiple of 85890 and 85909