What is the Greatest Common Factor of 95710 and 95730?

Greatest common factor (GCF) of 95710 and 95730 is 10.

GCF(95710,95730) = 10

We will now calculate the prime factors of 95710 and 95730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95710 and 95730.

How to find the GCF of 95710 and 95730?

We will first find the prime factorization of 95710 and 95730. After we will calculate the factors of 95710 and 95730 and find the biggest common factor number .

Step-1: Prime Factorization of 95710

Prime factors of 95710 are 2, 5, 17, 563. Prime factorization of 95710 in exponential form is:

95710 = 2¹ × 5¹ × 17¹ × 563¹

Step-2: 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-3: Factors of 95710

List of positive integer factors of 95710 that divides 95710 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 563, 1126, 2815, 5630, 9571, 19142, 47855

Step-4: Factors of 95730

List of positive integer factors of 95730 that divides 95710 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95710 and 95730. The biggest common factor number is the GCF number.
So the greatest common factor 95710 and 95730 is 10.

Also check out the Least Common Multiple of 95710 and 95730