What is the Greatest Common Factor of 33805 and 33810?

Greatest common factor (GCF) of 33805 and 33810 is 5.

GCF(33805,33810) = 5

We will now calculate the prime factors of 33805 and 33810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33805 and 33810.

How to find the GCF of 33805 and 33810?

We will first find the prime factorization of 33805 and 33810. After we will calculate the factors of 33805 and 33810 and find the biggest common factor number .

Step-1: Prime Factorization of 33805

Prime factors of 33805 are 5, 6761. Prime factorization of 33805 in exponential form is:

33805 = 5¹ × 6761¹

Step-2: Prime Factorization of 33810

Prime factors of 33810 are 2, 3, 5, 7, 23. Prime factorization of 33810 in exponential form is:

33810 = 2¹ × 3¹ × 5¹ × 7² × 23¹

Step-3: Factors of 33805

List of positive integer factors of 33805 that divides 33805 without a remainder.

1, 5, 6761

Step-4: Factors of 33810

List of positive integer factors of 33810 that divides 33805 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 49, 69, 70, 98, 105, 115, 138, 147, 161, 210, 230, 245, 294, 322, 345, 483, 490, 690, 735, 805, 966, 1127, 1470, 1610, 2254, 2415, 3381, 4830, 5635, 6762, 11270, 16905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33805 and 33810. The biggest common factor number is the GCF number.
So the greatest common factor 33805 and 33810 is 5.

Also check out the Least Common Multiple of 33805 and 33810