What is the Greatest Common Factor of 38500 and 38510?

Greatest common factor (GCF) of 38500 and 38510 is 10.

GCF(38500,38510) = 10

We will now calculate the prime factors of 38500 and 38510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38500 and 38510.

How to find the GCF of 38500 and 38510?

We will first find the prime factorization of 38500 and 38510. After we will calculate the factors of 38500 and 38510 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 38510

Prime factors of 38510 are 2, 5, 3851. Prime factorization of 38510 in exponential form is:

38510 = 2¹ × 5¹ × 3851¹

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 38510

List of positive integer factors of 38510 that divides 38500 without a remainder.

1, 2, 5, 10, 3851, 7702, 19255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38500 and 38510. The biggest common factor number is the GCF number.
So the greatest common factor 38500 and 38510 is 10.

Also check out the Least Common Multiple of 38500 and 38510