What is the Greatest Common Factor of 21742 and 21751?

Greatest common factor (GCF) of 21742 and 21751 is 1.

GCF(21742,21751) = 1

We will now calculate the prime factors of 21742 and 21751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21742 and 21751.

How to find the GCF of 21742 and 21751?

We will first find the prime factorization of 21742 and 21751. After we will calculate the factors of 21742 and 21751 and find the biggest common factor number .

Step-1: Prime Factorization of 21742

Prime factors of 21742 are 2, 7, 1553. Prime factorization of 21742 in exponential form is:

21742 = 2¹ × 7¹ × 1553¹

Step-2: Prime Factorization of 21751

Prime factors of 21751 are 21751. Prime factorization of 21751 in exponential form is:

21751 = 21751¹

Step-3: Factors of 21742

List of positive integer factors of 21742 that divides 21742 without a remainder.

1, 2, 7, 14, 1553, 3106, 10871

Step-4: Factors of 21751

List of positive integer factors of 21751 that divides 21742 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21742 and 21751. The biggest common factor number is the GCF number.
So the greatest common factor 21742 and 21751 is 1.

Also check out the Least Common Multiple of 21742 and 21751