What is the Greatest Common Factor of 81805 and 81820?

Greatest common factor (GCF) of 81805 and 81820 is 5.

GCF(81805,81820) = 5

We will now calculate the prime factors of 81805 and 81820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81805 and 81820.

How to find the GCF of 81805 and 81820?

We will first find the prime factorization of 81805 and 81820. After we will calculate the factors of 81805 and 81820 and find the biggest common factor number .

Step-1: Prime Factorization of 81805

Prime factors of 81805 are 5, 16361. Prime factorization of 81805 in exponential form is:

81805 = 5¹ × 16361¹

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 81805

List of positive integer factors of 81805 that divides 81805 without a remainder.

1, 5, 16361

Step-4: Factors of 81820

List of positive integer factors of 81820 that divides 81805 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 81805 and 81820. The biggest common factor number is the GCF number.
So the greatest common factor 81805 and 81820 is 5.

Also check out the Least Common Multiple of 81805 and 81820