What is the Greatest Common Factor of 18802 and 18817?

Greatest common factor (GCF) of 18802 and 18817 is 1.

GCF(18802,18817) = 1

We will now calculate the prime factors of 18802 and 18817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18802 and 18817.

How to find the GCF of 18802 and 18817?

We will first find the prime factorization of 18802 and 18817. After we will calculate the factors of 18802 and 18817 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 18817

Prime factors of 18817 are 31, 607. Prime factorization of 18817 in exponential form is:

18817 = 31¹ × 607¹

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 18817

List of positive integer factors of 18817 that divides 18802 without a remainder.

1, 31, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18802 and 18817. The biggest common factor number is the GCF number.
So the greatest common factor 18802 and 18817 is 1.

Also check out the Least Common Multiple of 18802 and 18817