What is the Greatest Common Factor of 71800 and 71816?

Greatest common factor (GCF) of 71800 and 71816 is 8.

GCF(71800,71816) = 8

We will now calculate the prime factors of 71800 and 71816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71800 and 71816.

How to find the GCF of 71800 and 71816?

We will first find the prime factorization of 71800 and 71816. After we will calculate the factors of 71800 and 71816 and find the biggest common factor number .

Step-1: Prime Factorization of 71800

Prime factors of 71800 are 2, 5, 359. Prime factorization of 71800 in exponential form is:

71800 = 2³ × 5² × 359¹

Step-2: Prime Factorization of 71816

Prime factors of 71816 are 2, 47, 191. Prime factorization of 71816 in exponential form is:

71816 = 2³ × 47¹ × 191¹

Step-3: Factors of 71800

List of positive integer factors of 71800 that divides 71800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 359, 718, 1436, 1795, 2872, 3590, 7180, 8975, 14360, 17950, 35900

Step-4: Factors of 71816

List of positive integer factors of 71816 that divides 71800 without a remainder.

1, 2, 4, 8, 47, 94, 188, 191, 376, 382, 764, 1528, 8977, 17954, 35908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71800 and 71816. The biggest common factor number is the GCF number.
So the greatest common factor 71800 and 71816 is 8.

Also check out the Least Common Multiple of 71800 and 71816