What is the Greatest Common Factor of 33138 and 33149?

Greatest common factor (GCF) of 33138 and 33149 is 1.

GCF(33138,33149) = 1

We will now calculate the prime factors of 33138 and 33149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33138 and 33149.

How to find the GCF of 33138 and 33149?

We will first find the prime factorization of 33138 and 33149. After we will calculate the factors of 33138 and 33149 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 33149

Prime factors of 33149 are 33149. Prime factorization of 33149 in exponential form is:

33149 = 33149¹

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 33149

List of positive integer factors of 33149 that divides 33138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33138 and 33149. The biggest common factor number is the GCF number.
So the greatest common factor 33138 and 33149 is 1.

Also check out the Least Common Multiple of 33138 and 33149