What is the Greatest Common Factor of 33070 and 33078?

Greatest common factor (GCF) of 33070 and 33078 is 2.

GCF(33070,33078) = 2

We will now calculate the prime factors of 33070 and 33078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33070 and 33078.

How to find the GCF of 33070 and 33078?

We will first find the prime factorization of 33070 and 33078. After we will calculate the factors of 33070 and 33078 and find the biggest common factor number .

Step-1: Prime Factorization of 33070

Prime factors of 33070 are 2, 5, 3307. Prime factorization of 33070 in exponential form is:

33070 = 2¹ × 5¹ × 3307¹

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 33070

List of positive integer factors of 33070 that divides 33070 without a remainder.

1, 2, 5, 10, 3307, 6614, 16535

Step-4: Factors of 33078

List of positive integer factors of 33078 that divides 33070 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 33070 and 33078. The biggest common factor number is the GCF number.
So the greatest common factor 33070 and 33078 is 2.

Also check out the Least Common Multiple of 33070 and 33078