What is the Greatest Common Factor of 33930 and 33948?

Greatest common factor (GCF) of 33930 and 33948 is 18.

GCF(33930,33948) = 18

We will now calculate the prime factors of 33930 and 33948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33930 and 33948.

How to find the GCF of 33930 and 33948?

We will first find the prime factorization of 33930 and 33948. After we will calculate the factors of 33930 and 33948 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 33948

Prime factors of 33948 are 2, 3, 23, 41. Prime factorization of 33948 in exponential form is:

33948 = 2² × 3² × 23¹ × 41¹

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 33948

List of positive integer factors of 33948 that divides 33930 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 41, 46, 69, 82, 92, 123, 138, 164, 207, 246, 276, 369, 414, 492, 738, 828, 943, 1476, 1886, 2829, 3772, 5658, 8487, 11316, 16974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33930 and 33948. The biggest common factor number is the GCF number.
So the greatest common factor 33930 and 33948 is 18.

Also check out the Least Common Multiple of 33930 and 33948