What is the Greatest Common Factor of 71785 and 71800?

Greatest common factor (GCF) of 71785 and 71800 is 5.

GCF(71785,71800) = 5

We will now calculate the prime factors of 71785 and 71800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71785 and 71800.

How to find the GCF of 71785 and 71800?

We will first find the prime factorization of 71785 and 71800. After we will calculate the factors of 71785 and 71800 and find the biggest common factor number .

Step-1: Prime Factorization of 71785

Prime factors of 71785 are 5, 7, 293. Prime factorization of 71785 in exponential form is:

71785 = 5¹ × 7² × 293¹

Step-2: 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-3: Factors of 71785

List of positive integer factors of 71785 that divides 71785 without a remainder.

1, 5, 7, 35, 49, 245, 293, 1465, 2051, 10255, 14357

Step-4: Factors of 71800

List of positive integer factors of 71800 that divides 71785 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71785 and 71800. The biggest common factor number is the GCF number.
So the greatest common factor 71785 and 71800 is 5.

Also check out the Least Common Multiple of 71785 and 71800