What is the Greatest Common Factor of 33705 and 33710?

Greatest common factor (GCF) of 33705 and 33710 is 5.

GCF(33705,33710) = 5

We will now calculate the prime factors of 33705 and 33710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33705 and 33710.

How to find the GCF of 33705 and 33710?

We will first find the prime factorization of 33705 and 33710. After we will calculate the factors of 33705 and 33710 and find the biggest common factor number .

Step-1: Prime Factorization of 33705

Prime factors of 33705 are 3, 5, 7, 107. Prime factorization of 33705 in exponential form is:

33705 = 3² × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 33710

Prime factors of 33710 are 2, 5, 3371. Prime factorization of 33710 in exponential form is:

33710 = 2¹ × 5¹ × 3371¹

Step-3: Factors of 33705

List of positive integer factors of 33705 that divides 33705 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 107, 315, 321, 535, 749, 963, 1605, 2247, 3745, 4815, 6741, 11235

Step-4: Factors of 33710

List of positive integer factors of 33710 that divides 33705 without a remainder.

1, 2, 5, 10, 3371, 6742, 16855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33705 and 33710. The biggest common factor number is the GCF number.
So the greatest common factor 33705 and 33710 is 5.

Also check out the Least Common Multiple of 33705 and 33710