What is the Greatest Common Factor of 18784 and 18802?

Greatest common factor (GCF) of 18784 and 18802 is 2.

GCF(18784,18802) = 2

We will now calculate the prime factors of 18784 and 18802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18784 and 18802.

How to find the GCF of 18784 and 18802?

We will first find the prime factorization of 18784 and 18802. After we will calculate the factors of 18784 and 18802 and find the biggest common factor number .

Step-1: Prime Factorization of 18784

Prime factors of 18784 are 2, 587. Prime factorization of 18784 in exponential form is:

18784 = 2⁵ × 587¹

Step-2: Prime Factorization of 18802

Prime factors of 18802 are 2, 7, 17, 79. Prime factorization of 18802 in exponential form is:

18802 = 2¹ × 7¹ × 17¹ × 79¹

Step-3: Factors of 18784

List of positive integer factors of 18784 that divides 18784 without a remainder.

1, 2, 4, 8, 16, 32, 587, 1174, 2348, 4696, 9392

Step-4: Factors of 18802

List of positive integer factors of 18802 that divides 18784 without a remainder.

1, 2, 7, 14, 17, 34, 79, 119, 158, 238, 553, 1106, 1343, 2686, 9401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18784 and 18802. The biggest common factor number is the GCF number.
So the greatest common factor 18784 and 18802 is 2.

Also check out the Least Common Multiple of 18784 and 18802