What is the Greatest Common Factor of 20795 and 20805?

Greatest common factor (GCF) of 20795 and 20805 is 5.

GCF(20795,20805) = 5

We will now calculate the prime factors of 20795 and 20805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20795 and 20805.

How to find the GCF of 20795 and 20805?

We will first find the prime factorization of 20795 and 20805. After we will calculate the factors of 20795 and 20805 and find the biggest common factor number .

Step-1: Prime Factorization of 20795

Prime factors of 20795 are 5, 4159. Prime factorization of 20795 in exponential form is:

20795 = 5¹ × 4159¹

Step-2: 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-3: Factors of 20795

List of positive integer factors of 20795 that divides 20795 without a remainder.

1, 5, 4159

Step-4: Factors of 20805

List of positive integer factors of 20805 that divides 20795 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20795 and 20805. The biggest common factor number is the GCF number.
So the greatest common factor 20795 and 20805 is 5.

Also check out the Least Common Multiple of 20795 and 20805