What is the Greatest Common Factor of 33730 and 33742?

Greatest common factor (GCF) of 33730 and 33742 is 2.

GCF(33730,33742) = 2

We will now calculate the prime factors of 33730 and 33742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33730 and 33742.

How to find the GCF of 33730 and 33742?

We will first find the prime factorization of 33730 and 33742. After we will calculate the factors of 33730 and 33742 and find the biggest common factor number .

Step-1: Prime Factorization of 33730

Prime factors of 33730 are 2, 5, 3373. Prime factorization of 33730 in exponential form is:

33730 = 2¹ × 5¹ × 3373¹

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 33730

List of positive integer factors of 33730 that divides 33730 without a remainder.

1, 2, 5, 10, 3373, 6746, 16865

Step-4: Factors of 33742

List of positive integer factors of 33742 that divides 33730 without a remainder.

1, 2, 16871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33730 and 33742. The biggest common factor number is the GCF number.
So the greatest common factor 33730 and 33742 is 2.

Also check out the Least Common Multiple of 33730 and 33742