What is the Greatest Common Factor of 20775 and 20785?

Greatest common factor (GCF) of 20775 and 20785 is 5.

GCF(20775,20785) = 5

We will now calculate the prime factors of 20775 and 20785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20775 and 20785.

How to find the GCF of 20775 and 20785?

We will first find the prime factorization of 20775 and 20785. After we will calculate the factors of 20775 and 20785 and find the biggest common factor number .

Step-1: Prime Factorization of 20775

Prime factors of 20775 are 3, 5, 277. Prime factorization of 20775 in exponential form is:

20775 = 3¹ × 5² × 277¹

Step-2: Prime Factorization of 20785

Prime factors of 20785 are 5, 4157. Prime factorization of 20785 in exponential form is:

20785 = 5¹ × 4157¹

Step-3: Factors of 20775

List of positive integer factors of 20775 that divides 20775 without a remainder.

1, 3, 5, 15, 25, 75, 277, 831, 1385, 4155, 6925

Step-4: Factors of 20785

List of positive integer factors of 20785 that divides 20775 without a remainder.

1, 5, 4157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20775 and 20785. The biggest common factor number is the GCF number.
So the greatest common factor 20775 and 20785 is 5.

Also check out the Least Common Multiple of 20775 and 20785