What is the Greatest Common Factor of 33130 and 33144?

Greatest common factor (GCF) of 33130 and 33144 is 2.

GCF(33130,33144) = 2

We will now calculate the prime factors of 33130 and 33144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33130 and 33144.

How to find the GCF of 33130 and 33144?

We will first find the prime factorization of 33130 and 33144. After we will calculate the factors of 33130 and 33144 and find the biggest common factor number .

Step-1: Prime Factorization of 33130

Prime factors of 33130 are 2, 5, 3313. Prime factorization of 33130 in exponential form is:

33130 = 2¹ × 5¹ × 3313¹

Step-2: Prime Factorization of 33144

Prime factors of 33144 are 2, 3, 1381. Prime factorization of 33144 in exponential form is:

33144 = 2³ × 3¹ × 1381¹

Step-3: Factors of 33130

List of positive integer factors of 33130 that divides 33130 without a remainder.

1, 2, 5, 10, 3313, 6626, 16565

Step-4: Factors of 33144

List of positive integer factors of 33144 that divides 33130 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1381, 2762, 4143, 5524, 8286, 11048, 16572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33130 and 33144. The biggest common factor number is the GCF number.
So the greatest common factor 33130 and 33144 is 2.

Also check out the Least Common Multiple of 33130 and 33144