What is the Greatest Common Factor of 20805 and 20821?

Greatest common factor (GCF) of 20805 and 20821 is 1.

GCF(20805,20821) = 1

We will now calculate the prime factors of 20805 and 20821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20805 and 20821.

How to find the GCF of 20805 and 20821?

We will first find the prime factorization of 20805 and 20821. After we will calculate the factors of 20805 and 20821 and find the biggest common factor number .

Step-1: Prime Factorization of 20805

Prime factors of 20805 are 3, 5, 19, 73. Prime factorization of 20805 in exponential form is:

20805 = 3¹ × 5¹ × 19¹ × 73¹

Step-2: Prime Factorization of 20821

Prime factors of 20821 are 47, 443. Prime factorization of 20821 in exponential form is:

20821 = 47¹ × 443¹

Step-3: Factors of 20805

List of positive integer factors of 20805 that divides 20805 without a remainder.

1, 3, 5, 15, 19, 57, 73, 95, 219, 285, 365, 1095, 1387, 4161, 6935

Step-4: Factors of 20821

List of positive integer factors of 20821 that divides 20805 without a remainder.

1, 47, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20805 and 20821. The biggest common factor number is the GCF number.
So the greatest common factor 20805 and 20821 is 1.

Also check out the Least Common Multiple of 20805 and 20821