What is the Greatest Common Factor of 15730 and 15750?

Greatest common factor (GCF) of 15730 and 15750 is 10.

GCF(15730,15750) = 10

We will now calculate the prime factors of 15730 and 15750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15730 and 15750.

How to find the GCF of 15730 and 15750?

We will first find the prime factorization of 15730 and 15750. After we will calculate the factors of 15730 and 15750 and find the biggest common factor number .

Step-1: Prime Factorization of 15730

Prime factors of 15730 are 2, 5, 11, 13. Prime factorization of 15730 in exponential form is:

15730 = 2¹ × 5¹ × 11² × 13¹

Step-2: Prime Factorization of 15750

Prime factors of 15750 are 2, 3, 5, 7. Prime factorization of 15750 in exponential form is:

15750 = 2¹ × 3² × 5³ × 7¹

Step-3: Factors of 15730

List of positive integer factors of 15730 that divides 15730 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 121, 130, 143, 242, 286, 605, 715, 1210, 1430, 1573, 3146, 7865

Step-4: Factors of 15750

List of positive integer factors of 15750 that divides 15730 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 125, 126, 150, 175, 210, 225, 250, 315, 350, 375, 450, 525, 630, 750, 875, 1050, 1125, 1575, 1750, 2250, 2625, 3150, 5250, 7875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15730 and 15750. The biggest common factor number is the GCF number.
So the greatest common factor 15730 and 15750 is 10.

Also check out the Least Common Multiple of 15730 and 15750