What is the Greatest Common Factor of 33500 and 33510?

Greatest common factor (GCF) of 33500 and 33510 is 10.

GCF(33500,33510) = 10

We will now calculate the prime factors of 33500 and 33510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33500 and 33510.

How to find the GCF of 33500 and 33510?

We will first find the prime factorization of 33500 and 33510. After we will calculate the factors of 33500 and 33510 and find the biggest common factor number .

Step-1: Prime Factorization of 33500

Prime factors of 33500 are 2, 5, 67. Prime factorization of 33500 in exponential form is:

33500 = 2² × 5³ × 67¹

Step-2: Prime Factorization of 33510

Prime factors of 33510 are 2, 3, 5, 1117. Prime factorization of 33510 in exponential form is:

33510 = 2¹ × 3¹ × 5¹ × 1117¹

Step-3: Factors of 33500

List of positive integer factors of 33500 that divides 33500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 125, 134, 250, 268, 335, 500, 670, 1340, 1675, 3350, 6700, 8375, 16750

Step-4: Factors of 33510

List of positive integer factors of 33510 that divides 33500 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1117, 2234, 3351, 5585, 6702, 11170, 16755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33500 and 33510. The biggest common factor number is the GCF number.
So the greatest common factor 33500 and 33510 is 10.

Also check out the Least Common Multiple of 33500 and 33510