What is the Greatest Common Factor of 33865 and 33885?

Greatest common factor (GCF) of 33865 and 33885 is 5.

GCF(33865,33885) = 5

We will now calculate the prime factors of 33865 and 33885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33865 and 33885.

How to find the GCF of 33865 and 33885?

We will first find the prime factorization of 33865 and 33885. After we will calculate the factors of 33865 and 33885 and find the biggest common factor number .

Step-1: Prime Factorization of 33865

Prime factors of 33865 are 5, 13, 521. Prime factorization of 33865 in exponential form is:

33865 = 5¹ × 13¹ × 521¹

Step-2: Prime Factorization of 33885

Prime factors of 33885 are 3, 5, 251. Prime factorization of 33885 in exponential form is:

33885 = 3³ × 5¹ × 251¹

Step-3: Factors of 33865

List of positive integer factors of 33865 that divides 33865 without a remainder.

1, 5, 13, 65, 521, 2605, 6773

Step-4: Factors of 33885

List of positive integer factors of 33885 that divides 33865 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 251, 753, 1255, 2259, 3765, 6777, 11295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33865 and 33885. The biggest common factor number is the GCF number.
So the greatest common factor 33865 and 33885 is 5.

Also check out the Least Common Multiple of 33865 and 33885