What is the Greatest Common Factor of 33935 and 33955?

Greatest common factor (GCF) of 33935 and 33955 is 5.

GCF(33935,33955) = 5

We will now calculate the prime factors of 33935 and 33955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33935 and 33955.

How to find the GCF of 33935 and 33955?

We will first find the prime factorization of 33935 and 33955. After we will calculate the factors of 33935 and 33955 and find the biggest common factor number .

Step-1: Prime Factorization of 33935

Prime factors of 33935 are 5, 11, 617. Prime factorization of 33935 in exponential form is:

33935 = 5¹ × 11¹ × 617¹

Step-2: Prime Factorization of 33955

Prime factors of 33955 are 5, 6791. Prime factorization of 33955 in exponential form is:

33955 = 5¹ × 6791¹

Step-3: Factors of 33935

List of positive integer factors of 33935 that divides 33935 without a remainder.

1, 5, 11, 55, 617, 3085, 6787

Step-4: Factors of 33955

List of positive integer factors of 33955 that divides 33935 without a remainder.

1, 5, 6791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33935 and 33955. The biggest common factor number is the GCF number.
So the greatest common factor 33935 and 33955 is 5.

Also check out the Least Common Multiple of 33935 and 33955