What is the Greatest Common Factor of 65080 and 65095?

Greatest common factor (GCF) of 65080 and 65095 is 5.

GCF(65080,65095) = 5

We will now calculate the prime factors of 65080 and 65095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65080 and 65095.

How to find the GCF of 65080 and 65095?

We will first find the prime factorization of 65080 and 65095. After we will calculate the factors of 65080 and 65095 and find the biggest common factor number .

Step-1: Prime Factorization of 65080

Prime factors of 65080 are 2, 5, 1627. Prime factorization of 65080 in exponential form is:

65080 = 2³ × 5¹ × 1627¹

Step-2: Prime Factorization of 65095

Prime factors of 65095 are 5, 47, 277. Prime factorization of 65095 in exponential form is:

65095 = 5¹ × 47¹ × 277¹

Step-3: Factors of 65080

List of positive integer factors of 65080 that divides 65080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1627, 3254, 6508, 8135, 13016, 16270, 32540

Step-4: Factors of 65095

List of positive integer factors of 65095 that divides 65080 without a remainder.

1, 5, 47, 235, 277, 1385, 13019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65080 and 65095. The biggest common factor number is the GCF number.
So the greatest common factor 65080 and 65095 is 5.

Also check out the Least Common Multiple of 65080 and 65095