What is the Greatest Common Factor of 80500 and 80519?

Greatest common factor (GCF) of 80500 and 80519 is 1.

GCF(80500,80519) = 1

We will now calculate the prime factors of 80500 and 80519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80500 and 80519.

How to find the GCF of 80500 and 80519?

We will first find the prime factorization of 80500 and 80519. After we will calculate the factors of 80500 and 80519 and find the biggest common factor number .

Step-1: Prime Factorization of 80500

Prime factors of 80500 are 2, 5, 7, 23. Prime factorization of 80500 in exponential form is:

80500 = 2² × 5³ × 7¹ × 23¹

Step-2: Prime Factorization of 80519

Prime factors of 80519 are 73, 1103. Prime factorization of 80519 in exponential form is:

80519 = 73¹ × 1103¹

Step-3: Factors of 80500

List of positive integer factors of 80500 that divides 80500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92, 100, 115, 125, 140, 161, 175, 230, 250, 322, 350, 460, 500, 575, 644, 700, 805, 875, 1150, 1610, 1750, 2300, 2875, 3220, 3500, 4025, 5750, 8050, 11500, 16100, 20125, 40250

Step-4: Factors of 80519

List of positive integer factors of 80519 that divides 80500 without a remainder.

1, 73, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80500 and 80519. The biggest common factor number is the GCF number.
So the greatest common factor 80500 and 80519 is 1.

Also check out the Least Common Multiple of 80500 and 80519