What is the Greatest Common Factor of 95500 and 95515?

Greatest common factor (GCF) of 95500 and 95515 is 5.

GCF(95500,95515) = 5

We will now calculate the prime factors of 95500 and 95515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95500 and 95515.

How to find the GCF of 95500 and 95515?

We will first find the prime factorization of 95500 and 95515. After we will calculate the factors of 95500 and 95515 and find the biggest common factor number .

Step-1: Prime Factorization of 95500

Prime factors of 95500 are 2, 5, 191. Prime factorization of 95500 in exponential form is:

95500 = 2² × 5³ × 191¹

Step-2: Prime Factorization of 95515

Prime factors of 95515 are 5, 7, 2729. Prime factorization of 95515 in exponential form is:

95515 = 5¹ × 7¹ × 2729¹

Step-3: Factors of 95500

List of positive integer factors of 95500 that divides 95500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 191, 250, 382, 500, 764, 955, 1910, 3820, 4775, 9550, 19100, 23875, 47750

Step-4: Factors of 95515

List of positive integer factors of 95515 that divides 95500 without a remainder.

1, 5, 7, 35, 2729, 13645, 19103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95500 and 95515. The biggest common factor number is the GCF number.
So the greatest common factor 95500 and 95515 is 5.

Also check out the Least Common Multiple of 95500 and 95515