What is the Greatest Common Factor of 20758 and 20773?

Greatest common factor (GCF) of 20758 and 20773 is 1.

GCF(20758,20773) = 1

We will now calculate the prime factors of 20758 and 20773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20758 and 20773.

How to find the GCF of 20758 and 20773?

We will first find the prime factorization of 20758 and 20773. After we will calculate the factors of 20758 and 20773 and find the biggest common factor number .

Step-1: Prime Factorization of 20758

Prime factors of 20758 are 2, 97, 107. Prime factorization of 20758 in exponential form is:

20758 = 2¹ × 97¹ × 107¹

Step-2: Prime Factorization of 20773

Prime factors of 20773 are 20773. Prime factorization of 20773 in exponential form is:

20773 = 20773¹

Step-3: Factors of 20758

List of positive integer factors of 20758 that divides 20758 without a remainder.

1, 2, 97, 107, 194, 214, 10379

Step-4: Factors of 20773

List of positive integer factors of 20773 that divides 20758 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20758 and 20773. The biggest common factor number is the GCF number.
So the greatest common factor 20758 and 20773 is 1.

Also check out the Least Common Multiple of 20758 and 20773