What is the Greatest Common Factor of 87800 and 87808?

Greatest common factor (GCF) of 87800 and 87808 is 8.

GCF(87800,87808) = 8

We will now calculate the prime factors of 87800 and 87808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87800 and 87808.

How to find the GCF of 87800 and 87808?

We will first find the prime factorization of 87800 and 87808. After we will calculate the factors of 87800 and 87808 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 87808

Prime factors of 87808 are 2, 7. Prime factorization of 87808 in exponential form is:

87808 = 2⁸ × 7³

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 87808

List of positive integer factors of 87808 that divides 87800 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 343, 392, 448, 686, 784, 896, 1372, 1568, 1792, 2744, 3136, 5488, 6272, 10976, 12544, 21952, 43904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87800 and 87808. The biggest common factor number is the GCF number.
So the greatest common factor 87800 and 87808 is 8.

Also check out the Least Common Multiple of 87800 and 87808