What is the Greatest Common Factor of 95165 and 95180?

Greatest common factor (GCF) of 95165 and 95180 is 5.

GCF(95165,95180) = 5

We will now calculate the prime factors of 95165 and 95180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95165 and 95180.

How to find the GCF of 95165 and 95180?

We will first find the prime factorization of 95165 and 95180. After we will calculate the factors of 95165 and 95180 and find the biggest common factor number .

Step-1: Prime Factorization of 95165

Prime factors of 95165 are 5, 7, 2719. Prime factorization of 95165 in exponential form is:

95165 = 5¹ × 7¹ × 2719¹

Step-2: Prime Factorization of 95180

Prime factors of 95180 are 2, 5, 4759. Prime factorization of 95180 in exponential form is:

95180 = 2² × 5¹ × 4759¹

Step-3: Factors of 95165

List of positive integer factors of 95165 that divides 95165 without a remainder.

1, 5, 7, 35, 2719, 13595, 19033

Step-4: Factors of 95180

List of positive integer factors of 95180 that divides 95165 without a remainder.

1, 2, 4, 5, 10, 20, 4759, 9518, 19036, 23795, 47590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95165 and 95180. The biggest common factor number is the GCF number.
So the greatest common factor 95165 and 95180 is 5.

Also check out the Least Common Multiple of 95165 and 95180