What is the Greatest Common Factor of 33930 and 33942?

Greatest common factor (GCF) of 33930 and 33942 is 6.

GCF(33930,33942) = 6

We will now calculate the prime factors of 33930 and 33942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33930 and 33942.

How to find the GCF of 33930 and 33942?

We will first find the prime factorization of 33930 and 33942. After we will calculate the factors of 33930 and 33942 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 33942

Prime factors of 33942 are 2, 3, 5657. Prime factorization of 33942 in exponential form is:

33942 = 2¹ × 3¹ × 5657¹

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 33942

List of positive integer factors of 33942 that divides 33930 without a remainder.

1, 2, 3, 6, 5657, 11314, 16971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33930 and 33942. The biggest common factor number is the GCF number.
So the greatest common factor 33930 and 33942 is 6.

Also check out the Least Common Multiple of 33930 and 33942