What is the Greatest Common Factor of 30589 and 30602?

Greatest common factor (GCF) of 30589 and 30602 is 13.

GCF(30589,30602) = 13

We will now calculate the prime factors of 30589 and 30602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30589 and 30602.

How to find the GCF of 30589 and 30602?

We will first find the prime factorization of 30589 and 30602. After we will calculate the factors of 30589 and 30602 and find the biggest common factor number .

Step-1: Prime Factorization of 30589

Prime factors of 30589 are 13, 181. Prime factorization of 30589 in exponential form is:

30589 = 13² × 181¹

Step-2: Prime Factorization of 30602

Prime factors of 30602 are 2, 11, 13, 107. Prime factorization of 30602 in exponential form is:

30602 = 2¹ × 11¹ × 13¹ × 107¹

Step-3: Factors of 30589

List of positive integer factors of 30589 that divides 30589 without a remainder.

1, 13, 169, 181, 2353

Step-4: Factors of 30602

List of positive integer factors of 30602 that divides 30589 without a remainder.

1, 2, 11, 13, 22, 26, 107, 143, 214, 286, 1177, 1391, 2354, 2782, 15301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30589 and 30602. The biggest common factor number is the GCF number.
So the greatest common factor 30589 and 30602 is 13.

Also check out the Least Common Multiple of 30589 and 30602