What is the Greatest Common Factor of 81800 and 81820?

Greatest common factor (GCF) of 81800 and 81820 is 20.

GCF(81800,81820) = 20

We will now calculate the prime factors of 81800 and 81820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81800 and 81820.

How to find the GCF of 81800 and 81820?

We will first find the prime factorization of 81800 and 81820. After we will calculate the factors of 81800 and 81820 and find the biggest common factor number .

Step-1: Prime Factorization of 81800

Prime factors of 81800 are 2, 5, 409. Prime factorization of 81800 in exponential form is:

81800 = 2³ × 5² × 409¹

Step-2: Prime Factorization of 81820

Prime factors of 81820 are 2, 5, 4091. Prime factorization of 81820 in exponential form is:

81820 = 2² × 5¹ × 4091¹

Step-3: Factors of 81800

List of positive integer factors of 81800 that divides 81800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 409, 818, 1636, 2045, 3272, 4090, 8180, 10225, 16360, 20450, 40900

Step-4: Factors of 81820

List of positive integer factors of 81820 that divides 81800 without a remainder.

1, 2, 4, 5, 10, 20, 4091, 8182, 16364, 20455, 40910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81800 and 81820. The biggest common factor number is the GCF number.
So the greatest common factor 81800 and 81820 is 20.

Also check out the Least Common Multiple of 81800 and 81820