What is the Greatest Common Factor of 33345 and 33357?

Greatest common factor (GCF) of 33345 and 33357 is 3.

GCF(33345,33357) = 3

We will now calculate the prime factors of 33345 and 33357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33345 and 33357.

How to find the GCF of 33345 and 33357?

We will first find the prime factorization of 33345 and 33357. After we will calculate the factors of 33345 and 33357 and find the biggest common factor number .

Step-1: Prime Factorization of 33345

Prime factors of 33345 are 3, 5, 13, 19. Prime factorization of 33345 in exponential form is:

33345 = 3³ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 33357

Prime factors of 33357 are 3, 11119. Prime factorization of 33357 in exponential form is:

33357 = 3¹ × 11119¹

Step-3: Factors of 33345

List of positive integer factors of 33345 that divides 33345 without a remainder.

1, 3, 5, 9, 13, 15, 19, 27, 39, 45, 57, 65, 95, 117, 135, 171, 195, 247, 285, 351, 513, 585, 741, 855, 1235, 1755, 2223, 2565, 3705, 6669, 11115

Step-4: Factors of 33357

List of positive integer factors of 33357 that divides 33345 without a remainder.

1, 3, 11119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33345 and 33357. The biggest common factor number is the GCF number.
So the greatest common factor 33345 and 33357 is 3.

Also check out the Least Common Multiple of 33345 and 33357