What is the Greatest Common Factor of 33945 and 33958?

Greatest common factor (GCF) of 33945 and 33958 is 1.

GCF(33945,33958) = 1

We will now calculate the prime factors of 33945 and 33958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33945 and 33958.

How to find the GCF of 33945 and 33958?

We will first find the prime factorization of 33945 and 33958. After we will calculate the factors of 33945 and 33958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33958

Prime factors of 33958 are 2, 16979. Prime factorization of 33958 in exponential form is:

33958 = 2¹ × 16979¹

Step-3: Factors of 33945

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

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

Step-4: Factors of 33958

List of positive integer factors of 33958 that divides 33945 without a remainder.

1, 2, 16979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33945 and 33958. The biggest common factor number is the GCF number.
So the greatest common factor 33945 and 33958 is 1.

Also check out the Least Common Multiple of 33945 and 33958