What is the Greatest Common Factor of 14584 and 14602?

Greatest common factor (GCF) of 14584 and 14602 is 2.

GCF(14584,14602) = 2

We will now calculate the prime factors of 14584 and 14602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14584 and 14602.

How to find the GCF of 14584 and 14602?

We will first find the prime factorization of 14584 and 14602. After we will calculate the factors of 14584 and 14602 and find the biggest common factor number .

Step-1: Prime Factorization of 14584

Prime factors of 14584 are 2, 1823. Prime factorization of 14584 in exponential form is:

14584 = 2³ × 1823¹

Step-2: Prime Factorization of 14602

Prime factors of 14602 are 2, 7, 149. Prime factorization of 14602 in exponential form is:

14602 = 2¹ × 7² × 149¹

Step-3: Factors of 14584

List of positive integer factors of 14584 that divides 14584 without a remainder.

1, 2, 4, 8, 1823, 3646, 7292

Step-4: Factors of 14602

List of positive integer factors of 14602 that divides 14584 without a remainder.

1, 2, 7, 14, 49, 98, 149, 298, 1043, 2086, 7301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14584 and 14602. The biggest common factor number is the GCF number.
So the greatest common factor 14584 and 14602 is 2.

Also check out the Least Common Multiple of 14584 and 14602