What is the Greatest Common Factor of 33930 and 33949?

Greatest common factor (GCF) of 33930 and 33949 is 1.

GCF(33930,33949) = 1

We will now calculate the prime factors of 33930 and 33949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33930 and 33949.

How to find the GCF of 33930 and 33949?

We will first find the prime factorization of 33930 and 33949. After we will calculate the factors of 33930 and 33949 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 33949

Prime factors of 33949 are 17, 1997. Prime factorization of 33949 in exponential form is:

33949 = 17¹ × 1997¹

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 33949

List of positive integer factors of 33949 that divides 33930 without a remainder.

1, 17, 1997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33930 and 33949. The biggest common factor number is the GCF number.
So the greatest common factor 33930 and 33949 is 1.

Also check out the Least Common Multiple of 33930 and 33949