What is the Greatest Common Factor of 33361 and 33374?

Greatest common factor (GCF) of 33361 and 33374 is 1.

GCF(33361,33374) = 1

We will now calculate the prime factors of 33361 and 33374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33361 and 33374.

How to find the GCF of 33361 and 33374?

We will first find the prime factorization of 33361 and 33374. After we will calculate the factors of 33361 and 33374 and find the biggest common factor number .

Step-1: Prime Factorization of 33361

Prime factors of 33361 are 73, 457. Prime factorization of 33361 in exponential form is:

33361 = 73¹ × 457¹

Step-2: 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-3: Factors of 33361

List of positive integer factors of 33361 that divides 33361 without a remainder.

1, 73, 457

Step-4: Factors of 33374

List of positive integer factors of 33374 that divides 33361 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33361 and 33374. The biggest common factor number is the GCF number.
So the greatest common factor 33361 and 33374 is 1.

Also check out the Least Common Multiple of 33361 and 33374