What is the Greatest Common Factor of 80595 and 80605?

Greatest common factor (GCF) of 80595 and 80605 is 5.

GCF(80595,80605) = 5

We will now calculate the prime factors of 80595 and 80605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80595 and 80605.

How to find the GCF of 80595 and 80605?

We will first find the prime factorization of 80595 and 80605. After we will calculate the factors of 80595 and 80605 and find the biggest common factor number .

Step-1: Prime Factorization of 80595

Prime factors of 80595 are 3, 5, 199. Prime factorization of 80595 in exponential form is:

80595 = 3⁴ × 5¹ × 199¹

Step-2: Prime Factorization of 80605

Prime factors of 80605 are 5, 7, 47. Prime factorization of 80605 in exponential form is:

80605 = 5¹ × 7³ × 47¹

Step-3: Factors of 80595

List of positive integer factors of 80595 that divides 80595 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 199, 405, 597, 995, 1791, 2985, 5373, 8955, 16119, 26865

Step-4: Factors of 80605

List of positive integer factors of 80605 that divides 80595 without a remainder.

1, 5, 7, 35, 47, 49, 235, 245, 329, 343, 1645, 1715, 2303, 11515, 16121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80595 and 80605. The biggest common factor number is the GCF number.
So the greatest common factor 80595 and 80605 is 5.

Also check out the Least Common Multiple of 80595 and 80605