What is the Greatest Common Factor of 95730 and 95750?

Greatest common factor (GCF) of 95730 and 95750 is 10.

GCF(95730,95750) = 10

We will now calculate the prime factors of 95730 and 95750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95730 and 95750.

How to find the GCF of 95730 and 95750?

We will first find the prime factorization of 95730 and 95750. After we will calculate the factors of 95730 and 95750 and find the biggest common factor number .

Step-1: Prime Factorization of 95730

Prime factors of 95730 are 2, 3, 5, 3191. Prime factorization of 95730 in exponential form is:

95730 = 2¹ × 3¹ × 5¹ × 3191¹

Step-2: Prime Factorization of 95750

Prime factors of 95750 are 2, 5, 383. Prime factorization of 95750 in exponential form is:

95750 = 2¹ × 5³ × 383¹

Step-3: Factors of 95730

List of positive integer factors of 95730 that divides 95730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3191, 6382, 9573, 15955, 19146, 31910, 47865

Step-4: Factors of 95750

List of positive integer factors of 95750 that divides 95730 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 383, 766, 1915, 3830, 9575, 19150, 47875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95730 and 95750. The biggest common factor number is the GCF number.
So the greatest common factor 95730 and 95750 is 10.

Also check out the Least Common Multiple of 95730 and 95750