What is the Greatest Common Factor of 18802 and 18818?

Greatest common factor (GCF) of 18802 and 18818 is 2.

GCF(18802,18818) = 2

We will now calculate the prime factors of 18802 and 18818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18802 and 18818.

How to find the GCF of 18802 and 18818?

We will first find the prime factorization of 18802 and 18818. After we will calculate the factors of 18802 and 18818 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18818

Prime factors of 18818 are 2, 97. Prime factorization of 18818 in exponential form is:

18818 = 2¹ × 97²

Step-3: Factors of 18802

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

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

Step-4: Factors of 18818

List of positive integer factors of 18818 that divides 18802 without a remainder.

1, 2, 97, 194, 9409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18802 and 18818. The biggest common factor number is the GCF number.
So the greatest common factor 18802 and 18818 is 2.

Also check out the Least Common Multiple of 18802 and 18818