What is the Greatest Common Factor of 20778 and 20792?

Greatest common factor (GCF) of 20778 and 20792 is 2.

GCF(20778,20792) = 2

We will now calculate the prime factors of 20778 and 20792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20778 and 20792.

How to find the GCF of 20778 and 20792?

We will first find the prime factorization of 20778 and 20792. After we will calculate the factors of 20778 and 20792 and find the biggest common factor number .

Step-1: Prime Factorization of 20778

Prime factors of 20778 are 2, 3, 3463. Prime factorization of 20778 in exponential form is:

20778 = 2¹ × 3¹ × 3463¹

Step-2: Prime Factorization of 20792

Prime factors of 20792 are 2, 23, 113. Prime factorization of 20792 in exponential form is:

20792 = 2³ × 23¹ × 113¹

Step-3: Factors of 20778

List of positive integer factors of 20778 that divides 20778 without a remainder.

1, 2, 3, 6, 3463, 6926, 10389

Step-4: Factors of 20792

List of positive integer factors of 20792 that divides 20778 without a remainder.

1, 2, 4, 8, 23, 46, 92, 113, 184, 226, 452, 904, 2599, 5198, 10396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20778 and 20792. The biggest common factor number is the GCF number.
So the greatest common factor 20778 and 20792 is 2.

Also check out the Least Common Multiple of 20778 and 20792