What is the Greatest Common Factor of 33930 and 33950?

Greatest common factor (GCF) of 33930 and 33950 is 10.

GCF(33930,33950) = 10

We will now calculate the prime factors of 33930 and 33950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33930 and 33950.

How to find the GCF of 33930 and 33950?

We will first find the prime factorization of 33930 and 33950. After we will calculate the factors of 33930 and 33950 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 33950

Prime factors of 33950 are 2, 5, 7, 97. Prime factorization of 33950 in exponential form is:

33950 = 2¹ × 5² × 7¹ × 97¹

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 33950

List of positive integer factors of 33950 that divides 33930 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 97, 175, 194, 350, 485, 679, 970, 1358, 2425, 3395, 4850, 6790, 16975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33930 and 33950. The biggest common factor number is the GCF number.
So the greatest common factor 33930 and 33950 is 10.

Also check out the Least Common Multiple of 33930 and 33950