What is the Greatest Common Factor of 38493 and 38500?

Greatest common factor (GCF) of 38493 and 38500 is 7.

GCF(38493,38500) = 7

We will now calculate the prime factors of 38493 and 38500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38493 and 38500.

How to find the GCF of 38493 and 38500?

We will first find the prime factorization of 38493 and 38500. After we will calculate the factors of 38493 and 38500 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 38500

Prime factors of 38500 are 2, 5, 7, 11. Prime factorization of 38500 in exponential form is:

38500 = 2² × 5³ × 7¹ × 11¹

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 38500

List of positive integer factors of 38500 that divides 38493 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 125, 140, 154, 175, 220, 250, 275, 308, 350, 385, 500, 550, 700, 770, 875, 1100, 1375, 1540, 1750, 1925, 2750, 3500, 3850, 5500, 7700, 9625, 19250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38493 and 38500. The biggest common factor number is the GCF number.
So the greatest common factor 38493 and 38500 is 7.

Also check out the Least Common Multiple of 38493 and 38500