What is the Greatest Common Factor of 1398 and 1403?

Greatest common factor (GCF) of 1398 and 1403 is 1.

GCF(1398,1403) = 1

We will now calculate the prime factors of 1398 and 1403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1398 and 1403.

How to find the GCF of 1398 and 1403?

We will first find the prime factorization of 1398 and 1403. After we will calculate the factors of 1398 and 1403 and find the biggest common factor number .

Step-1: Prime Factorization of 1398

Prime factors of 1398 are 2, 3, 233. Prime factorization of 1398 in exponential form is:

1398 = 2¹ × 3¹ × 233¹

Step-2: Prime Factorization of 1403

Prime factors of 1403 are 23, 61. Prime factorization of 1403 in exponential form is:

1403 = 23¹ × 61¹

Step-3: Factors of 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1, 2, 3, 6, 233, 466, 699

Step-4: Factors of 1403

List of positive integer factors of 1403 that divides 1398 without a remainder.

1, 23, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1398 and 1403. The biggest common factor number is the GCF number.
So the greatest common factor 1398 and 1403 is 1.

Also check out the Least Common Multiple of 1398 and 1403