What is the Greatest Common Factor of 80200 and 80219?

Greatest common factor (GCF) of 80200 and 80219 is 1.

GCF(80200,80219) = 1

We will now calculate the prime factors of 80200 and 80219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80200 and 80219.

How to find the GCF of 80200 and 80219?

We will first find the prime factorization of 80200 and 80219. After we will calculate the factors of 80200 and 80219 and find the biggest common factor number .

Step-1: Prime Factorization of 80200

Prime factors of 80200 are 2, 5, 401. Prime factorization of 80200 in exponential form is:

80200 = 2³ × 5² × 401¹

Step-2: Prime Factorization of 80219

Prime factors of 80219 are 97, 827. Prime factorization of 80219 in exponential form is:

80219 = 97¹ × 827¹

Step-3: Factors of 80200

List of positive integer factors of 80200 that divides 80200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 401, 802, 1604, 2005, 3208, 4010, 8020, 10025, 16040, 20050, 40100

Step-4: Factors of 80219

List of positive integer factors of 80219 that divides 80200 without a remainder.

1, 97, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80200 and 80219. The biggest common factor number is the GCF number.
So the greatest common factor 80200 and 80219 is 1.

Also check out the Least Common Multiple of 80200 and 80219