What is the Greatest Common Factor of 85870 and 85890?

Greatest common factor (GCF) of 85870 and 85890 is 10.

GCF(85870,85890) = 10

We will now calculate the prime factors of 85870 and 85890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85870 and 85890.

How to find the GCF of 85870 and 85890?

We will first find the prime factorization of 85870 and 85890. After we will calculate the factors of 85870 and 85890 and find the biggest common factor number .

Step-1: Prime Factorization of 85870

Prime factors of 85870 are 2, 5, 31, 277. Prime factorization of 85870 in exponential form is:

85870 = 2¹ × 5¹ × 31¹ × 277¹

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 85870

List of positive integer factors of 85870 that divides 85870 without a remainder.

1, 2, 5, 10, 31, 62, 155, 277, 310, 554, 1385, 2770, 8587, 17174, 42935

Step-4: Factors of 85890

List of positive integer factors of 85890 that divides 85870 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 85870 and 85890. The biggest common factor number is the GCF number.
So the greatest common factor 85870 and 85890 is 10.

Also check out the Least Common Multiple of 85870 and 85890