What is the Greatest Common Factor of 33555 and 33570?

Greatest common factor (GCF) of 33555 and 33570 is 15.

GCF(33555,33570) = 15

We will now calculate the prime factors of 33555 and 33570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33555 and 33570.

How to find the GCF of 33555 and 33570?

We will first find the prime factorization of 33555 and 33570. After we will calculate the factors of 33555 and 33570 and find the biggest common factor number .

Step-1: Prime Factorization of 33555

Prime factors of 33555 are 3, 5, 2237. Prime factorization of 33555 in exponential form is:

33555 = 3¹ × 5¹ × 2237¹

Step-2: Prime Factorization of 33570

Prime factors of 33570 are 2, 3, 5, 373. Prime factorization of 33570 in exponential form is:

33570 = 2¹ × 3² × 5¹ × 373¹

Step-3: Factors of 33555

List of positive integer factors of 33555 that divides 33555 without a remainder.

1, 3, 5, 15, 2237, 6711, 11185

Step-4: Factors of 33570

List of positive integer factors of 33570 that divides 33555 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 373, 746, 1119, 1865, 2238, 3357, 3730, 5595, 6714, 11190, 16785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33555 and 33570. The biggest common factor number is the GCF number.
So the greatest common factor 33555 and 33570 is 15.

Also check out the Least Common Multiple of 33555 and 33570