What is the Greatest Common Factor of 20778 and 20785?

Greatest common factor (GCF) of 20778 and 20785 is 1.

GCF(20778,20785) = 1

We will now calculate the prime factors of 20778 and 20785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20778 and 20785.

How to find the GCF of 20778 and 20785?

We will first find the prime factorization of 20778 and 20785. After we will calculate the factors of 20778 and 20785 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 20785

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

20785 = 5¹ × 4157¹

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 20785

List of positive integer factors of 20785 that divides 20778 without a remainder.

1, 5, 4157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20778 and 20785. The biggest common factor number is the GCF number.
So the greatest common factor 20778 and 20785 is 1.

Also check out the Least Common Multiple of 20778 and 20785