What is the Greatest Common Factor of 33730 and 33750?

Greatest common factor (GCF) of 33730 and 33750 is 10.

GCF(33730,33750) = 10

We will now calculate the prime factors of 33730 and 33750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33730 and 33750.

How to find the GCF of 33730 and 33750?

We will first find the prime factorization of 33730 and 33750. After we will calculate the factors of 33730 and 33750 and find the biggest common factor number .

Step-1: Prime Factorization of 33730

Prime factors of 33730 are 2, 5, 3373. Prime factorization of 33730 in exponential form is:

33730 = 2¹ × 5¹ × 3373¹

Step-2: Prime Factorization of 33750

Prime factors of 33750 are 2, 3, 5. Prime factorization of 33750 in exponential form is:

33750 = 2¹ × 3³ × 5⁴

Step-3: Factors of 33730

List of positive integer factors of 33730 that divides 33730 without a remainder.

1, 2, 5, 10, 3373, 6746, 16865

Step-4: Factors of 33750

List of positive integer factors of 33750 that divides 33730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 625, 675, 750, 1125, 1250, 1350, 1875, 2250, 3375, 3750, 5625, 6750, 11250, 16875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33730 and 33750. The biggest common factor number is the GCF number.
So the greatest common factor 33730 and 33750 is 10.

Also check out the Least Common Multiple of 33730 and 33750