What is the Greatest Common Factor of 80200 and 80215?

Greatest common factor (GCF) of 80200 and 80215 is 5.

GCF(80200,80215) = 5

We will now calculate the prime factors of 80200 and 80215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80200 and 80215.

How to find the GCF of 80200 and 80215?

We will first find the prime factorization of 80200 and 80215. After we will calculate the factors of 80200 and 80215 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 80215

Prime factors of 80215 are 5, 61, 263. Prime factorization of 80215 in exponential form is:

80215 = 5¹ × 61¹ × 263¹

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 80215

List of positive integer factors of 80215 that divides 80200 without a remainder.

1, 5, 61, 263, 305, 1315, 16043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80200 and 80215. The biggest common factor number is the GCF number.
So the greatest common factor 80200 and 80215 is 5.

Also check out the Least Common Multiple of 80200 and 80215