What is the Greatest Common Factor of 20668 and 20674?

Greatest common factor (GCF) of 20668 and 20674 is 2.

GCF(20668,20674) = 2

We will now calculate the prime factors of 20668 and 20674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20668 and 20674.

How to find the GCF of 20668 and 20674?

We will first find the prime factorization of 20668 and 20674. After we will calculate the factors of 20668 and 20674 and find the biggest common factor number .

Step-1: Prime Factorization of 20668

Prime factors of 20668 are 2, 5167. Prime factorization of 20668 in exponential form is:

20668 = 2² × 5167¹

Step-2: Prime Factorization of 20674

Prime factors of 20674 are 2, 10337. Prime factorization of 20674 in exponential form is:

20674 = 2¹ × 10337¹

Step-3: Factors of 20668

List of positive integer factors of 20668 that divides 20668 without a remainder.

1, 2, 4, 5167, 10334

Step-4: Factors of 20674

List of positive integer factors of 20674 that divides 20668 without a remainder.

1, 2, 10337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20668 and 20674. The biggest common factor number is the GCF number.
So the greatest common factor 20668 and 20674 is 2.

Also check out the Least Common Multiple of 20668 and 20674