What is the Greatest Common Factor of 29583 and 29602?

Greatest common factor (GCF) of 29583 and 29602 is 19.

GCF(29583,29602) = 19

We will now calculate the prime factors of 29583 and 29602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29583 and 29602.

How to find the GCF of 29583 and 29602?

We will first find the prime factorization of 29583 and 29602. After we will calculate the factors of 29583 and 29602 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 29602

Prime factors of 29602 are 2, 19, 41. Prime factorization of 29602 in exponential form is:

29602 = 2¹ × 19² × 41¹

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 29602

List of positive integer factors of 29602 that divides 29583 without a remainder.

1, 2, 19, 38, 41, 82, 361, 722, 779, 1558, 14801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29583 and 29602. The biggest common factor number is the GCF number.
So the greatest common factor 29583 and 29602 is 19.

Also check out the Least Common Multiple of 29583 and 29602