What is the Greatest Common Factor of 38493 and 38503?

Greatest common factor (GCF) of 38493 and 38503 is 1.

GCF(38493,38503) = 1

We will now calculate the prime factors of 38493 and 38503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38493 and 38503.

How to find the GCF of 38493 and 38503?

We will first find the prime factorization of 38493 and 38503. After we will calculate the factors of 38493 and 38503 and find the biggest common factor number .

Step-1: Prime Factorization of 38493

Prime factors of 38493 are 3, 7, 13, 47. Prime factorization of 38493 in exponential form is:

38493 = 3² × 7¹ × 13¹ × 47¹

Step-2: Prime Factorization of 38503

Prime factors of 38503 are 139, 277. Prime factorization of 38503 in exponential form is:

38503 = 139¹ × 277¹

Step-3: Factors of 38493

List of positive integer factors of 38493 that divides 38493 without a remainder.

1, 3, 7, 9, 13, 21, 39, 47, 63, 91, 117, 141, 273, 329, 423, 611, 819, 987, 1833, 2961, 4277, 5499, 12831

Step-4: Factors of 38503

List of positive integer factors of 38503 that divides 38493 without a remainder.

1, 139, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38493 and 38503. The biggest common factor number is the GCF number.
So the greatest common factor 38493 and 38503 is 1.

Also check out the Least Common Multiple of 38493 and 38503