What is the Greatest Common Factor of 95965 and 95980?

Greatest common factor (GCF) of 95965 and 95980 is 5.

GCF(95965,95980) = 5

We will now calculate the prime factors of 95965 and 95980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95965 and 95980.

How to find the GCF of 95965 and 95980?

We will first find the prime factorization of 95965 and 95980. After we will calculate the factors of 95965 and 95980 and find the biggest common factor number .

Step-1: Prime Factorization of 95965

Prime factors of 95965 are 5, 17, 1129. Prime factorization of 95965 in exponential form is:

95965 = 5¹ × 17¹ × 1129¹

Step-2: 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-3: Factors of 95965

List of positive integer factors of 95965 that divides 95965 without a remainder.

1, 5, 17, 85, 1129, 5645, 19193

Step-4: Factors of 95980

List of positive integer factors of 95980 that divides 95965 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95965 and 95980. The biggest common factor number is the GCF number.
So the greatest common factor 95965 and 95980 is 5.

Also check out the Least Common Multiple of 95965 and 95980