What is the Greatest Common Factor of 95180 and 95195?

Greatest common factor (GCF) of 95180 and 95195 is 5.

GCF(95180,95195) = 5

We will now calculate the prime factors of 95180 and 95195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95180 and 95195.

How to find the GCF of 95180 and 95195?

We will first find the prime factorization of 95180 and 95195. After we will calculate the factors of 95180 and 95195 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95195

Prime factors of 95195 are 5, 79, 241. Prime factorization of 95195 in exponential form is:

95195 = 5¹ × 79¹ × 241¹

Step-3: Factors of 95180

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

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

Step-4: Factors of 95195

List of positive integer factors of 95195 that divides 95180 without a remainder.

1, 5, 79, 241, 395, 1205, 19039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95180 and 95195. The biggest common factor number is the GCF number.
So the greatest common factor 95180 and 95195 is 5.

Also check out the Least Common Multiple of 95180 and 95195