What is the Greatest Common Factor of 87800 and 87805?

Greatest common factor (GCF) of 87800 and 87805 is 5.

GCF(87800,87805) = 5

We will now calculate the prime factors of 87800 and 87805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87800 and 87805.

How to find the GCF of 87800 and 87805?

We will first find the prime factorization of 87800 and 87805. After we will calculate the factors of 87800 and 87805 and find the biggest common factor number .

Step-1: Prime Factorization of 87800

Prime factors of 87800 are 2, 5, 439. Prime factorization of 87800 in exponential form is:

87800 = 2³ × 5² × 439¹

Step-2: Prime Factorization of 87805

Prime factors of 87805 are 5, 17, 1033. Prime factorization of 87805 in exponential form is:

87805 = 5¹ × 17¹ × 1033¹

Step-3: Factors of 87800

List of positive integer factors of 87800 that divides 87800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 439, 878, 1756, 2195, 3512, 4390, 8780, 10975, 17560, 21950, 43900

Step-4: Factors of 87805

List of positive integer factors of 87805 that divides 87800 without a remainder.

1, 5, 17, 85, 1033, 5165, 17561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87800 and 87805. The biggest common factor number is the GCF number.
So the greatest common factor 87800 and 87805 is 5.

Also check out the Least Common Multiple of 87800 and 87805