What is the Greatest Common Factor of 71800 and 71814?

Greatest common factor (GCF) of 71800 and 71814 is 2.

GCF(71800,71814) = 2

We will now calculate the prime factors of 71800 and 71814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71800 and 71814.

How to find the GCF of 71800 and 71814?

We will first find the prime factorization of 71800 and 71814. After we will calculate the factors of 71800 and 71814 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 71814

Prime factors of 71814 are 2, 3, 11969. Prime factorization of 71814 in exponential form is:

71814 = 2¹ × 3¹ × 11969¹

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 71814

List of positive integer factors of 71814 that divides 71800 without a remainder.

1, 2, 3, 6, 11969, 23938, 35907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71800 and 71814. The biggest common factor number is the GCF number.
So the greatest common factor 71800 and 71814 is 2.

Also check out the Least Common Multiple of 71800 and 71814