What is the Greatest Common Factor of 33335 and 33345?

Greatest common factor (GCF) of 33335 and 33345 is 5.

GCF(33335,33345) = 5

We will now calculate the prime factors of 33335 and 33345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33335 and 33345.

How to find the GCF of 33335 and 33345?

We will first find the prime factorization of 33335 and 33345. After we will calculate the factors of 33335 and 33345 and find the biggest common factor number .

Step-1: Prime Factorization of 33335

Prime factors of 33335 are 5, 59, 113. Prime factorization of 33335 in exponential form is:

33335 = 5¹ × 59¹ × 113¹

Step-2: 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-3: Factors of 33335

List of positive integer factors of 33335 that divides 33335 without a remainder.

1, 5, 59, 113, 295, 565, 6667

Step-4: Factors of 33345

List of positive integer factors of 33345 that divides 33335 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33335 and 33345. The biggest common factor number is the GCF number.
So the greatest common factor 33335 and 33345 is 5.

Also check out the Least Common Multiple of 33335 and 33345