What is the Greatest Common Factor of 89800 and 89810?

Greatest common factor (GCF) of 89800 and 89810 is 10.

GCF(89800,89810) = 10

We will now calculate the prime factors of 89800 and 89810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89800 and 89810.

How to find the GCF of 89800 and 89810?

We will first find the prime factorization of 89800 and 89810. After we will calculate the factors of 89800 and 89810 and find the biggest common factor number .

Step-1: Prime Factorization of 89800

Prime factors of 89800 are 2, 5, 449. Prime factorization of 89800 in exponential form is:

89800 = 2³ × 5² × 449¹

Step-2: Prime Factorization of 89810

Prime factors of 89810 are 2, 5, 7, 1283. Prime factorization of 89810 in exponential form is:

89810 = 2¹ × 5¹ × 7¹ × 1283¹

Step-3: Factors of 89800

List of positive integer factors of 89800 that divides 89800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 449, 898, 1796, 2245, 3592, 4490, 8980, 11225, 17960, 22450, 44900

Step-4: Factors of 89810

List of positive integer factors of 89810 that divides 89800 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1283, 2566, 6415, 8981, 12830, 17962, 44905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89800 and 89810. The biggest common factor number is the GCF number.
So the greatest common factor 89800 and 89810 is 10.

Also check out the Least Common Multiple of 89800 and 89810