What is the Greatest Common Factor of 33345 and 33355?

Greatest common factor (GCF) of 33345 and 33355 is 5.

GCF(33345,33355) = 5

We will now calculate the prime factors of 33345 and 33355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33345 and 33355.

How to find the GCF of 33345 and 33355?

We will first find the prime factorization of 33345 and 33355. After we will calculate the factors of 33345 and 33355 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 33355

Prime factors of 33355 are 5, 7, 953. Prime factorization of 33355 in exponential form is:

33355 = 5¹ × 7¹ × 953¹

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 33355

List of positive integer factors of 33355 that divides 33345 without a remainder.

1, 5, 7, 35, 953, 4765, 6671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33345 and 33355. The biggest common factor number is the GCF number.
So the greatest common factor 33345 and 33355 is 5.

Also check out the Least Common Multiple of 33345 and 33355