What is the Greatest Common Factor of 33578 and 33598?

Greatest common factor (GCF) of 33578 and 33598 is 2.

GCF(33578,33598) = 2

We will now calculate the prime factors of 33578 and 33598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33578 and 33598.

How to find the GCF of 33578 and 33598?

We will first find the prime factorization of 33578 and 33598. After we will calculate the factors of 33578 and 33598 and find the biggest common factor number .

Step-1: Prime Factorization of 33578

Prime factors of 33578 are 2, 103, 163. Prime factorization of 33578 in exponential form is:

33578 = 2¹ × 103¹ × 163¹

Step-2: Prime Factorization of 33598

Prime factors of 33598 are 2, 107, 157. Prime factorization of 33598 in exponential form is:

33598 = 2¹ × 107¹ × 157¹

Step-3: Factors of 33578

List of positive integer factors of 33578 that divides 33578 without a remainder.

1, 2, 103, 163, 206, 326, 16789

Step-4: Factors of 33598

List of positive integer factors of 33598 that divides 33578 without a remainder.

1, 2, 107, 157, 214, 314, 16799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33578 and 33598. The biggest common factor number is the GCF number.
So the greatest common factor 33578 and 33598 is 2.

Also check out the Least Common Multiple of 33578 and 33598