What is the Greatest Common Factor of 20742 and 20751?

Greatest common factor (GCF) of 20742 and 20751 is 3.

GCF(20742,20751) = 3

We will now calculate the prime factors of 20742 and 20751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20742 and 20751.

How to find the GCF of 20742 and 20751?

We will first find the prime factorization of 20742 and 20751. After we will calculate the factors of 20742 and 20751 and find the biggest common factor number .

Step-1: Prime Factorization of 20742

Prime factors of 20742 are 2, 3, 3457. Prime factorization of 20742 in exponential form is:

20742 = 2¹ × 3¹ × 3457¹

Step-2: Prime Factorization of 20751

Prime factors of 20751 are 3, 6917. Prime factorization of 20751 in exponential form is:

20751 = 3¹ × 6917¹

Step-3: Factors of 20742

List of positive integer factors of 20742 that divides 20742 without a remainder.

1, 2, 3, 6, 3457, 6914, 10371

Step-4: Factors of 20751

List of positive integer factors of 20751 that divides 20742 without a remainder.

1, 3, 6917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20742 and 20751. The biggest common factor number is the GCF number.
So the greatest common factor 20742 and 20751 is 3.

Also check out the Least Common Multiple of 20742 and 20751