What is the Greatest Common Factor of 33374 and 33385?

Greatest common factor (GCF) of 33374 and 33385 is 11.

GCF(33374,33385) = 11

We will now calculate the prime factors of 33374 and 33385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33374 and 33385.

How to find the GCF of 33374 and 33385?

We will first find the prime factorization of 33374 and 33385. After we will calculate the factors of 33374 and 33385 and find the biggest common factor number .

Step-1: Prime Factorization of 33374

Prime factors of 33374 are 2, 11, 37, 41. Prime factorization of 33374 in exponential form is:

33374 = 2¹ × 11¹ × 37¹ × 41¹

Step-2: Prime Factorization of 33385

Prime factors of 33385 are 5, 11, 607. Prime factorization of 33385 in exponential form is:

33385 = 5¹ × 11¹ × 607¹

Step-3: Factors of 33374

List of positive integer factors of 33374 that divides 33374 without a remainder.

1, 2, 11, 22, 37, 41, 74, 82, 407, 451, 814, 902, 1517, 3034, 16687

Step-4: Factors of 33385

List of positive integer factors of 33385 that divides 33374 without a remainder.

1, 5, 11, 55, 607, 3035, 6677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33374 and 33385. The biggest common factor number is the GCF number.
So the greatest common factor 33374 and 33385 is 11.

Also check out the Least Common Multiple of 33374 and 33385