What is the Greatest Common Factor of 18277 and 18291?

Greatest common factor (GCF) of 18277 and 18291 is 7.

GCF(18277,18291) = 7

We will now calculate the prime factors of 18277 and 18291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18277 and 18291.

How to find the GCF of 18277 and 18291?

We will first find the prime factorization of 18277 and 18291. After we will calculate the factors of 18277 and 18291 and find the biggest common factor number .

Step-1: Prime Factorization of 18277

Prime factors of 18277 are 7, 373. Prime factorization of 18277 in exponential form is:

18277 = 7² × 373¹

Step-2: Prime Factorization of 18291

Prime factors of 18291 are 3, 7, 13, 67. Prime factorization of 18291 in exponential form is:

18291 = 3¹ × 7¹ × 13¹ × 67¹

Step-3: Factors of 18277

List of positive integer factors of 18277 that divides 18277 without a remainder.

1, 7, 49, 373, 2611

Step-4: Factors of 18291

List of positive integer factors of 18291 that divides 18277 without a remainder.

1, 3, 7, 13, 21, 39, 67, 91, 201, 273, 469, 871, 1407, 2613, 6097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18277 and 18291. The biggest common factor number is the GCF number.
So the greatest common factor 18277 and 18291 is 7.

Also check out the Least Common Multiple of 18277 and 18291