What is the Greatest Common Factor of 33074 and 33078?

Greatest common factor (GCF) of 33074 and 33078 is 2.

GCF(33074,33078) = 2

We will now calculate the prime factors of 33074 and 33078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33074 and 33078.

How to find the GCF of 33074 and 33078?

We will first find the prime factorization of 33074 and 33078. After we will calculate the factors of 33074 and 33078 and find the biggest common factor number .

Step-1: Prime Factorization of 33074

Prime factors of 33074 are 2, 23, 719. Prime factorization of 33074 in exponential form is:

33074 = 2¹ × 23¹ × 719¹

Step-2: Prime Factorization of 33078

Prime factors of 33078 are 2, 3, 37, 149. Prime factorization of 33078 in exponential form is:

33078 = 2¹ × 3¹ × 37¹ × 149¹

Step-3: Factors of 33074

List of positive integer factors of 33074 that divides 33074 without a remainder.

1, 2, 23, 46, 719, 1438, 16537

Step-4: Factors of 33078

List of positive integer factors of 33078 that divides 33074 without a remainder.

1, 2, 3, 6, 37, 74, 111, 149, 222, 298, 447, 894, 5513, 11026, 16539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33074 and 33078. The biggest common factor number is the GCF number.
So the greatest common factor 33074 and 33078 is 2.

Also check out the Least Common Multiple of 33074 and 33078