What is the Greatest Common Factor of 33140 and 33149?

Greatest common factor (GCF) of 33140 and 33149 is 1.

GCF(33140,33149) = 1

We will now calculate the prime factors of 33140 and 33149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33140 and 33149.

How to find the GCF of 33140 and 33149?

We will first find the prime factorization of 33140 and 33149. After we will calculate the factors of 33140 and 33149 and find the biggest common factor number .

Step-1: Prime Factorization of 33140

Prime factors of 33140 are 2, 5, 1657. Prime factorization of 33140 in exponential form is:

33140 = 2² × 5¹ × 1657¹

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 33140

List of positive integer factors of 33140 that divides 33140 without a remainder.

1, 2, 4, 5, 10, 20, 1657, 3314, 6628, 8285, 16570

Step-4: Factors of 33149

List of positive integer factors of 33149 that divides 33140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33140 and 33149. The biggest common factor number is the GCF number.
So the greatest common factor 33140 and 33149 is 1.

Also check out the Least Common Multiple of 33140 and 33149