What is the Greatest Common Factor of 87784 and 87800?

Greatest common factor (GCF) of 87784 and 87800 is 8.

GCF(87784,87800) = 8

We will now calculate the prime factors of 87784 and 87800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87784 and 87800.

How to find the GCF of 87784 and 87800?

We will first find the prime factorization of 87784 and 87800. After we will calculate the factors of 87784 and 87800 and find the biggest common factor number .

Step-1: Prime Factorization of 87784

Prime factors of 87784 are 2, 10973. Prime factorization of 87784 in exponential form is:

87784 = 2³ × 10973¹

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 87784

List of positive integer factors of 87784 that divides 87784 without a remainder.

1, 2, 4, 8, 10973, 21946, 43892

Step-4: Factors of 87800

List of positive integer factors of 87800 that divides 87784 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 87784 and 87800. The biggest common factor number is the GCF number.
So the greatest common factor 87784 and 87800 is 8.

Also check out the Least Common Multiple of 87784 and 87800