What is the Greatest Common Factor of 71800 and 71812?

Greatest common factor (GCF) of 71800 and 71812 is 4.

GCF(71800,71812) = 4

We will now calculate the prime factors of 71800 and 71812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71800 and 71812.

How to find the GCF of 71800 and 71812?

We will first find the prime factorization of 71800 and 71812. After we will calculate the factors of 71800 and 71812 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 71812

Prime factors of 71812 are 2, 13, 1381. Prime factorization of 71812 in exponential form is:

71812 = 2² × 13¹ × 1381¹

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 71812

List of positive integer factors of 71812 that divides 71800 without a remainder.

1, 2, 4, 13, 26, 52, 1381, 2762, 5524, 17953, 35906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71800 and 71812. The biggest common factor number is the GCF number.
So the greatest common factor 71800 and 71812 is 4.

Also check out the Least Common Multiple of 71800 and 71812