What is the Greatest Common Factor of 33278 and 33292?

Greatest common factor (GCF) of 33278 and 33292 is 14.

GCF(33278,33292) = 14

We will now calculate the prime factors of 33278 and 33292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33278 and 33292.

How to find the GCF of 33278 and 33292?

We will first find the prime factorization of 33278 and 33292. After we will calculate the factors of 33278 and 33292 and find the biggest common factor number .

Step-1: Prime Factorization of 33278

Prime factors of 33278 are 2, 7, 2377. Prime factorization of 33278 in exponential form is:

33278 = 2¹ × 7¹ × 2377¹

Step-2: Prime Factorization of 33292

Prime factors of 33292 are 2, 7, 29, 41. Prime factorization of 33292 in exponential form is:

33292 = 2² × 7¹ × 29¹ × 41¹

Step-3: Factors of 33278

List of positive integer factors of 33278 that divides 33278 without a remainder.

1, 2, 7, 14, 2377, 4754, 16639

Step-4: Factors of 33292

List of positive integer factors of 33292 that divides 33278 without a remainder.

1, 2, 4, 7, 14, 28, 29, 41, 58, 82, 116, 164, 203, 287, 406, 574, 812, 1148, 1189, 2378, 4756, 8323, 16646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33278 and 33292. The biggest common factor number is the GCF number.
So the greatest common factor 33278 and 33292 is 14.

Also check out the Least Common Multiple of 33278 and 33292