What is the Greatest Common Factor of 48398 and 48403?

Greatest common factor (GCF) of 48398 and 48403 is 1.

GCF(48398,48403) = 1

We will now calculate the prime factors of 48398 and 48403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48398 and 48403.

How to find the GCF of 48398 and 48403?

We will first find the prime factorization of 48398 and 48403. After we will calculate the factors of 48398 and 48403 and find the biggest common factor number .

Step-1: Prime Factorization of 48398

Prime factors of 48398 are 2, 7, 3457. Prime factorization of 48398 in exponential form is:

48398 = 2¹ × 7¹ × 3457¹

Step-2: Prime Factorization of 48403

Prime factors of 48403 are 97, 499. Prime factorization of 48403 in exponential form is:

48403 = 97¹ × 499¹

Step-3: Factors of 48398

List of positive integer factors of 48398 that divides 48398 without a remainder.

1, 2, 7, 14, 3457, 6914, 24199

Step-4: Factors of 48403

List of positive integer factors of 48403 that divides 48398 without a remainder.

1, 97, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48398 and 48403. The biggest common factor number is the GCF number.
So the greatest common factor 48398 and 48403 is 1.

Also check out the Least Common Multiple of 48398 and 48403