What is the Greatest Common Factor of 38500 and 38508?

Greatest common factor (GCF) of 38500 and 38508 is 4.

GCF(38500,38508) = 4

We will now calculate the prime factors of 38500 and 38508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38500 and 38508.

How to find the GCF of 38500 and 38508?

We will first find the prime factorization of 38500 and 38508. After we will calculate the factors of 38500 and 38508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38508

Prime factors of 38508 are 2, 3, 3209. Prime factorization of 38508 in exponential form is:

38508 = 2² × 3¹ × 3209¹

Step-3: Factors of 38500

List of positive integer factors of 38500 that divides 38500 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

Step-4: Factors of 38508

List of positive integer factors of 38508 that divides 38500 without a remainder.

1, 2, 3, 4, 6, 12, 3209, 6418, 9627, 12836, 19254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38500 and 38508. The biggest common factor number is the GCF number.
So the greatest common factor 38500 and 38508 is 4.

Also check out the Least Common Multiple of 38500 and 38508