What is the Greatest Common Factor of 80590 and 80605?

Greatest common factor (GCF) of 80590 and 80605 is 5.

GCF(80590,80605) = 5

We will now calculate the prime factors of 80590 and 80605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80590 and 80605.

How to find the GCF of 80590 and 80605?

We will first find the prime factorization of 80590 and 80605. After we will calculate the factors of 80590 and 80605 and find the biggest common factor number .

Step-1: Prime Factorization of 80590

Prime factors of 80590 are 2, 5, 8059. Prime factorization of 80590 in exponential form is:

80590 = 2¹ × 5¹ × 8059¹

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 80590

List of positive integer factors of 80590 that divides 80590 without a remainder.

1, 2, 5, 10, 8059, 16118, 40295

Step-4: Factors of 80605

List of positive integer factors of 80605 that divides 80590 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 80590 and 80605. The biggest common factor number is the GCF number.
So the greatest common factor 80590 and 80605 is 5.

Also check out the Least Common Multiple of 80590 and 80605