What is the Greatest Common Factor of 95180 and 95185?

Greatest common factor (GCF) of 95180 and 95185 is 5.

GCF(95180,95185) = 5

We will now calculate the prime factors of 95180 and 95185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95180 and 95185.

How to find the GCF of 95180 and 95185?

We will first find the prime factorization of 95180 and 95185. After we will calculate the factors of 95180 and 95185 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 95185

Prime factors of 95185 are 5, 19037. Prime factorization of 95185 in exponential form is:

95185 = 5¹ × 19037¹

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 95185

List of positive integer factors of 95185 that divides 95180 without a remainder.

1, 5, 19037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95180 and 95185. The biggest common factor number is the GCF number.
So the greatest common factor 95180 and 95185 is 5.

Also check out the Least Common Multiple of 95180 and 95185