What is the Greatest Common Factor of 33725 and 33730?

Greatest common factor (GCF) of 33725 and 33730 is 5.

GCF(33725,33730) = 5

We will now calculate the prime factors of 33725 and 33730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33725 and 33730.

How to find the GCF of 33725 and 33730?

We will first find the prime factorization of 33725 and 33730. After we will calculate the factors of 33725 and 33730 and find the biggest common factor number .

Step-1: Prime Factorization of 33725

Prime factors of 33725 are 5, 19, 71. Prime factorization of 33725 in exponential form is:

33725 = 5² × 19¹ × 71¹

Step-2: 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-3: Factors of 33725

List of positive integer factors of 33725 that divides 33725 without a remainder.

1, 5, 19, 25, 71, 95, 355, 475, 1349, 1775, 6745

Step-4: Factors of 33730

List of positive integer factors of 33730 that divides 33725 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33725 and 33730. The biggest common factor number is the GCF number.
So the greatest common factor 33725 and 33730 is 5.

Also check out the Least Common Multiple of 33725 and 33730