What is the Greatest Common Factor of 33738 and 33742?

Greatest common factor (GCF) of 33738 and 33742 is 2.

GCF(33738,33742) = 2

We will now calculate the prime factors of 33738 and 33742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33738 and 33742.

How to find the GCF of 33738 and 33742?

We will first find the prime factorization of 33738 and 33742. After we will calculate the factors of 33738 and 33742 and find the biggest common factor number .

Step-1: Prime Factorization of 33738

Prime factors of 33738 are 2, 3, 5623. Prime factorization of 33738 in exponential form is:

33738 = 2¹ × 3¹ × 5623¹

Step-2: Prime Factorization of 33742

Prime factors of 33742 are 2, 16871. Prime factorization of 33742 in exponential form is:

33742 = 2¹ × 16871¹

Step-3: Factors of 33738

List of positive integer factors of 33738 that divides 33738 without a remainder.

1, 2, 3, 6, 5623, 11246, 16869

Step-4: Factors of 33742

List of positive integer factors of 33742 that divides 33738 without a remainder.

1, 2, 16871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33738 and 33742. The biggest common factor number is the GCF number.
So the greatest common factor 33738 and 33742 is 2.

Also check out the Least Common Multiple of 33738 and 33742