What is the Greatest Common Factor of 71780 and 71800?

Greatest common factor (GCF) of 71780 and 71800 is 20.

GCF(71780,71800) = 20

We will now calculate the prime factors of 71780 and 71800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71780 and 71800.

How to find the GCF of 71780 and 71800?

We will first find the prime factorization of 71780 and 71800. After we will calculate the factors of 71780 and 71800 and find the biggest common factor number .

Step-1: Prime Factorization of 71780

Prime factors of 71780 are 2, 5, 37, 97. Prime factorization of 71780 in exponential form is:

71780 = 2² × 5¹ × 37¹ × 97¹

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 71780

List of positive integer factors of 71780 that divides 71780 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 97, 148, 185, 194, 370, 388, 485, 740, 970, 1940, 3589, 7178, 14356, 17945, 35890

Step-4: Factors of 71800

List of positive integer factors of 71800 that divides 71780 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 71780 and 71800. The biggest common factor number is the GCF number.
So the greatest common factor 71780 and 71800 is 20.

Also check out the Least Common Multiple of 71780 and 71800