What is the Greatest Common Factor of 33341 and 33352?

Greatest common factor (GCF) of 33341 and 33352 is 11.

GCF(33341,33352) = 11

We will now calculate the prime factors of 33341 and 33352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33341 and 33352.

How to find the GCF of 33341 and 33352?

We will first find the prime factorization of 33341 and 33352. After we will calculate the factors of 33341 and 33352 and find the biggest common factor number .

Step-1: Prime Factorization of 33341

Prime factors of 33341 are 7, 11, 433. Prime factorization of 33341 in exponential form is:

33341 = 7¹ × 11¹ × 433¹

Step-2: Prime Factorization of 33352

Prime factors of 33352 are 2, 11, 379. Prime factorization of 33352 in exponential form is:

33352 = 2³ × 11¹ × 379¹

Step-3: Factors of 33341

List of positive integer factors of 33341 that divides 33341 without a remainder.

1, 7, 11, 77, 433, 3031, 4763

Step-4: Factors of 33352

List of positive integer factors of 33352 that divides 33341 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 379, 758, 1516, 3032, 4169, 8338, 16676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33341 and 33352. The biggest common factor number is the GCF number.
So the greatest common factor 33341 and 33352 is 11.

Also check out the Least Common Multiple of 33341 and 33352