What is the Greatest Common Factor of 89870 and 89875?

Greatest common factor (GCF) of 89870 and 89875 is 5.

GCF(89870,89875) = 5

We will now calculate the prime factors of 89870 and 89875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89870 and 89875.

How to find the GCF of 89870 and 89875?

We will first find the prime factorization of 89870 and 89875. After we will calculate the factors of 89870 and 89875 and find the biggest common factor number .

Step-1: Prime Factorization of 89870

Prime factors of 89870 are 2, 5, 11, 19, 43. Prime factorization of 89870 in exponential form is:

89870 = 2¹ × 5¹ × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 89875

Prime factors of 89875 are 5, 719. Prime factorization of 89875 in exponential form is:

89875 = 5³ × 719¹

Step-3: Factors of 89870

List of positive integer factors of 89870 that divides 89870 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 43, 55, 86, 95, 110, 190, 209, 215, 418, 430, 473, 817, 946, 1045, 1634, 2090, 2365, 4085, 4730, 8170, 8987, 17974, 44935

Step-4: Factors of 89875

List of positive integer factors of 89875 that divides 89870 without a remainder.

1, 5, 25, 125, 719, 3595, 17975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89870 and 89875. The biggest common factor number is the GCF number.
So the greatest common factor 89870 and 89875 is 5.

Also check out the Least Common Multiple of 89870 and 89875