What is the Greatest Common Factor of 95980 and 95995?

Greatest common factor (GCF) of 95980 and 95995 is 5.

GCF(95980,95995) = 5

We will now calculate the prime factors of 95980 and 95995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95980 and 95995.

How to find the GCF of 95980 and 95995?

We will first find the prime factorization of 95980 and 95995. After we will calculate the factors of 95980 and 95995 and find the biggest common factor number .

Step-1: Prime Factorization of 95980

Prime factors of 95980 are 2, 5, 4799. Prime factorization of 95980 in exponential form is:

95980 = 2² × 5¹ × 4799¹

Step-2: Prime Factorization of 95995

Prime factors of 95995 are 5, 73, 263. Prime factorization of 95995 in exponential form is:

95995 = 5¹ × 73¹ × 263¹

Step-3: Factors of 95980

List of positive integer factors of 95980 that divides 95980 without a remainder.

1, 2, 4, 5, 10, 20, 4799, 9598, 19196, 23995, 47990

Step-4: Factors of 95995

List of positive integer factors of 95995 that divides 95980 without a remainder.

1, 5, 73, 263, 365, 1315, 19199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95980 and 95995. The biggest common factor number is the GCF number.
So the greatest common factor 95980 and 95995 is 5.

Also check out the Least Common Multiple of 95980 and 95995