What is the Greatest Common Factor of 38489 and 38493?

Greatest common factor (GCF) of 38489 and 38493 is 1.

GCF(38489,38493) = 1

We will now calculate the prime factors of 38489 and 38493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38489 and 38493.

How to find the GCF of 38489 and 38493?

We will first find the prime factorization of 38489 and 38493. After we will calculate the factors of 38489 and 38493 and find the biggest common factor number .

Step-1: Prime Factorization of 38489

Prime factors of 38489 are 11, 3499. Prime factorization of 38489 in exponential form is:

38489 = 11¹ × 3499¹

Step-2: 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-3: Factors of 38489

List of positive integer factors of 38489 that divides 38489 without a remainder.

1, 11, 3499

Step-4: Factors of 38493

List of positive integer factors of 38493 that divides 38489 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38489 and 38493. The biggest common factor number is the GCF number.
So the greatest common factor 38489 and 38493 is 1.

Also check out the Least Common Multiple of 38489 and 38493