What is the Greatest Common Factor of 33138 and 33146?

Greatest common factor (GCF) of 33138 and 33146 is 2.

GCF(33138,33146) = 2

We will now calculate the prime factors of 33138 and 33146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33138 and 33146.

How to find the GCF of 33138 and 33146?

We will first find the prime factorization of 33138 and 33146. After we will calculate the factors of 33138 and 33146 and find the biggest common factor number .

Step-1: Prime Factorization of 33138

Prime factors of 33138 are 2, 3, 7, 263. Prime factorization of 33138 in exponential form is:

33138 = 2¹ × 3² × 7¹ × 263¹

Step-2: Prime Factorization of 33146

Prime factors of 33146 are 2, 16573. Prime factorization of 33146 in exponential form is:

33146 = 2¹ × 16573¹

Step-3: Factors of 33138

List of positive integer factors of 33138 that divides 33138 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 263, 526, 789, 1578, 1841, 2367, 3682, 4734, 5523, 11046, 16569

Step-4: Factors of 33146

List of positive integer factors of 33146 that divides 33138 without a remainder.

1, 2, 16573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33138 and 33146. The biggest common factor number is the GCF number.
So the greatest common factor 33138 and 33146 is 2.

Also check out the Least Common Multiple of 33138 and 33146