What is the Greatest Common Factor of 29583 and 29598?

Greatest common factor (GCF) of 29583 and 29598 is 3.

GCF(29583,29598) = 3

We will now calculate the prime factors of 29583 and 29598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29583 and 29598.

How to find the GCF of 29583 and 29598?

We will first find the prime factorization of 29583 and 29598. After we will calculate the factors of 29583 and 29598 and find the biggest common factor number .

Step-1: Prime Factorization of 29583

Prime factors of 29583 are 3, 19, 173. Prime factorization of 29583 in exponential form is:

29583 = 3² × 19¹ × 173¹

Step-2: Prime Factorization of 29598

Prime factors of 29598 are 2, 3, 4933. Prime factorization of 29598 in exponential form is:

29598 = 2¹ × 3¹ × 4933¹

Step-3: Factors of 29583

List of positive integer factors of 29583 that divides 29583 without a remainder.

1, 3, 9, 19, 57, 171, 173, 519, 1557, 3287, 9861

Step-4: Factors of 29598

List of positive integer factors of 29598 that divides 29583 without a remainder.

1, 2, 3, 6, 4933, 9866, 14799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29583 and 29598. The biggest common factor number is the GCF number.
So the greatest common factor 29583 and 29598 is 3.

Also check out the Least Common Multiple of 29583 and 29598