What is the Greatest Common Factor of 33930 and 33945?

Greatest common factor (GCF) of 33930 and 33945 is 15.

GCF(33930,33945) = 15

We will now calculate the prime factors of 33930 and 33945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33930 and 33945.

How to find the GCF of 33930 and 33945?

We will first find the prime factorization of 33930 and 33945. After we will calculate the factors of 33930 and 33945 and find the biggest common factor number .

Step-1: Prime Factorization of 33930

Prime factors of 33930 are 2, 3, 5, 13, 29. Prime factorization of 33930 in exponential form is:

33930 = 2¹ × 3² × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 33945

Prime factors of 33945 are 3, 5, 31, 73. Prime factorization of 33945 in exponential form is:

33945 = 3¹ × 5¹ × 31¹ × 73¹

Step-3: Factors of 33930

List of positive integer factors of 33930 that divides 33930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 29, 30, 39, 45, 58, 65, 78, 87, 90, 117, 130, 145, 174, 195, 234, 261, 290, 377, 390, 435, 522, 585, 754, 870, 1131, 1170, 1305, 1885, 2262, 2610, 3393, 3770, 5655, 6786, 11310, 16965

Step-4: Factors of 33945

List of positive integer factors of 33945 that divides 33930 without a remainder.

1, 3, 5, 15, 31, 73, 93, 155, 219, 365, 465, 1095, 2263, 6789, 11315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33930 and 33945. The biggest common factor number is the GCF number.
So the greatest common factor 33930 and 33945 is 15.

Also check out the Least Common Multiple of 33930 and 33945