What is the Greatest Common Factor of 20779 and 20783?

Greatest common factor (GCF) of 20779 and 20783 is 1.

GCF(20779,20783) = 1

We will now calculate the prime factors of 20779 and 20783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20779 and 20783.

How to find the GCF of 20779 and 20783?

We will first find the prime factorization of 20779 and 20783. After we will calculate the factors of 20779 and 20783 and find the biggest common factor number .

Step-1: Prime Factorization of 20779

Prime factors of 20779 are 11, 1889. Prime factorization of 20779 in exponential form is:

20779 = 11¹ × 1889¹

Step-2: Prime Factorization of 20783

Prime factors of 20783 are 7, 2969. Prime factorization of 20783 in exponential form is:

20783 = 7¹ × 2969¹

Step-3: Factors of 20779

List of positive integer factors of 20779 that divides 20779 without a remainder.

1, 11, 1889

Step-4: Factors of 20783

List of positive integer factors of 20783 that divides 20779 without a remainder.

1, 7, 2969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20779 and 20783. The biggest common factor number is the GCF number.
So the greatest common factor 20779 and 20783 is 1.

Also check out the Least Common Multiple of 20779 and 20783