What is the Greatest Common Factor of 33750 and 33765?

Greatest common factor (GCF) of 33750 and 33765 is 15.

GCF(33750,33765) = 15

We will now calculate the prime factors of 33750 and 33765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33750 and 33765.

How to find the GCF of 33750 and 33765?

We will first find the prime factorization of 33750 and 33765. After we will calculate the factors of 33750 and 33765 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33765

Prime factors of 33765 are 3, 5, 2251. Prime factorization of 33765 in exponential form is:

33765 = 3¹ × 5¹ × 2251¹

Step-3: Factors of 33750

List of positive integer factors of 33750 that divides 33750 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

Step-4: Factors of 33765

List of positive integer factors of 33765 that divides 33750 without a remainder.

1, 3, 5, 15, 2251, 6753, 11255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33750 and 33765. The biggest common factor number is the GCF number.
So the greatest common factor 33750 and 33765 is 15.

Also check out the Least Common Multiple of 33750 and 33765