What is the Greatest Common Factor of 20676 and 20681?

Greatest common factor (GCF) of 20676 and 20681 is 1.

GCF(20676,20681) = 1

We will now calculate the prime factors of 20676 and 20681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20676 and 20681.

How to find the GCF of 20676 and 20681?

We will first find the prime factorization of 20676 and 20681. After we will calculate the factors of 20676 and 20681 and find the biggest common factor number .

Step-1: Prime Factorization of 20676

Prime factors of 20676 are 2, 3, 1723. Prime factorization of 20676 in exponential form is:

20676 = 2² × 3¹ × 1723¹

Step-2: Prime Factorization of 20681

Prime factors of 20681 are 20681. Prime factorization of 20681 in exponential form is:

20681 = 20681¹

Step-3: Factors of 20676

List of positive integer factors of 20676 that divides 20676 without a remainder.

1, 2, 3, 4, 6, 12, 1723, 3446, 5169, 6892, 10338

Step-4: Factors of 20681

List of positive integer factors of 20681 that divides 20676 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20676 and 20681. The biggest common factor number is the GCF number.
So the greatest common factor 20676 and 20681 is 1.

Also check out the Least Common Multiple of 20676 and 20681