What is the Greatest Common Factor of 87795 and 87800?

Greatest common factor (GCF) of 87795 and 87800 is 5.

GCF(87795,87800) = 5

We will now calculate the prime factors of 87795 and 87800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87795 and 87800.

How to find the GCF of 87795 and 87800?

We will first find the prime factorization of 87795 and 87800. After we will calculate the factors of 87795 and 87800 and find the biggest common factor number .

Step-1: Prime Factorization of 87795

Prime factors of 87795 are 3, 5, 1951. Prime factorization of 87795 in exponential form is:

87795 = 3² × 5¹ × 1951¹

Step-2: 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-3: Factors of 87795

List of positive integer factors of 87795 that divides 87795 without a remainder.

1, 3, 5, 9, 15, 45, 1951, 5853, 9755, 17559, 29265

Step-4: Factors of 87800

List of positive integer factors of 87800 that divides 87795 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87795 and 87800. The biggest common factor number is the GCF number.
So the greatest common factor 87795 and 87800 is 5.

Also check out the Least Common Multiple of 87795 and 87800