What is the Greatest Common Factor of 18396 and 18403?

Greatest common factor (GCF) of 18396 and 18403 is 7.

GCF(18396,18403) = 7

We will now calculate the prime factors of 18396 and 18403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18396 and 18403.

How to find the GCF of 18396 and 18403?

We will first find the prime factorization of 18396 and 18403. After we will calculate the factors of 18396 and 18403 and find the biggest common factor number .

Step-1: Prime Factorization of 18396

Prime factors of 18396 are 2, 3, 7, 73. Prime factorization of 18396 in exponential form is:

18396 = 2² × 3² × 7¹ × 73¹

Step-2: Prime Factorization of 18403

Prime factors of 18403 are 7, 11, 239. Prime factorization of 18403 in exponential form is:

18403 = 7¹ × 11¹ × 239¹

Step-3: Factors of 18396

List of positive integer factors of 18396 that divides 18396 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 73, 84, 126, 146, 219, 252, 292, 438, 511, 657, 876, 1022, 1314, 1533, 2044, 2628, 3066, 4599, 6132, 9198

Step-4: Factors of 18403

List of positive integer factors of 18403 that divides 18396 without a remainder.

1, 7, 11, 77, 239, 1673, 2629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18396 and 18403. The biggest common factor number is the GCF number.
So the greatest common factor 18396 and 18403 is 7.

Also check out the Least Common Multiple of 18396 and 18403