What is the Greatest Common Factor of 18788 and 18802?

Greatest common factor (GCF) of 18788 and 18802 is 14.

GCF(18788,18802) = 14

We will now calculate the prime factors of 18788 and 18802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18788 and 18802.

How to find the GCF of 18788 and 18802?

We will first find the prime factorization of 18788 and 18802. After we will calculate the factors of 18788 and 18802 and find the biggest common factor number .

Step-1: Prime Factorization of 18788

Prime factors of 18788 are 2, 7, 11, 61. Prime factorization of 18788 in exponential form is:

18788 = 2² × 7¹ × 11¹ × 61¹

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 18788

List of positive integer factors of 18788 that divides 18788 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 61, 77, 122, 154, 244, 308, 427, 671, 854, 1342, 1708, 2684, 4697, 9394

Step-4: Factors of 18802

List of positive integer factors of 18802 that divides 18788 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 18788 and 18802. The biggest common factor number is the GCF number.
So the greatest common factor 18788 and 18802 is 14.

Also check out the Least Common Multiple of 18788 and 18802