What is the Greatest Common Factor of 85890 and 85898?

Greatest common factor (GCF) of 85890 and 85898 is 2.

GCF(85890,85898) = 2

We will now calculate the prime factors of 85890 and 85898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85890 and 85898.

How to find the GCF of 85890 and 85898?

We will first find the prime factorization of 85890 and 85898. After we will calculate the factors of 85890 and 85898 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 85898

Prime factors of 85898 are 2, 29, 1481. Prime factorization of 85898 in exponential form is:

85898 = 2¹ × 29¹ × 1481¹

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 85898

List of positive integer factors of 85898 that divides 85890 without a remainder.

1, 2, 29, 58, 1481, 2962, 42949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85890 and 85898. The biggest common factor number is the GCF number.
So the greatest common factor 85890 and 85898 is 2.

Also check out the Least Common Multiple of 85890 and 85898