What is the Greatest Common Factor of 20758 and 20771?

Greatest common factor (GCF) of 20758 and 20771 is 1.

GCF(20758,20771) = 1

We will now calculate the prime factors of 20758 and 20771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20758 and 20771.

How to find the GCF of 20758 and 20771?

We will first find the prime factorization of 20758 and 20771. After we will calculate the factors of 20758 and 20771 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 20771

Prime factors of 20771 are 20771. Prime factorization of 20771 in exponential form is:

20771 = 20771¹

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 20771

List of positive integer factors of 20771 that divides 20758 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20758 and 20771. The biggest common factor number is the GCF number.
So the greatest common factor 20758 and 20771 is 1.

Also check out the Least Common Multiple of 20758 and 20771