What is the Greatest Common Factor of 80200 and 80211?

Greatest common factor (GCF) of 80200 and 80211 is 1.

GCF(80200,80211) = 1

We will now calculate the prime factors of 80200 and 80211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80200 and 80211.

How to find the GCF of 80200 and 80211?

We will first find the prime factorization of 80200 and 80211. After we will calculate the factors of 80200 and 80211 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 80211

Prime factors of 80211 are 3, 26737. Prime factorization of 80211 in exponential form is:

80211 = 3¹ × 26737¹

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 80211

List of positive integer factors of 80211 that divides 80200 without a remainder.

1, 3, 26737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80200 and 80211. The biggest common factor number is the GCF number.
So the greatest common factor 80200 and 80211 is 1.

Also check out the Least Common Multiple of 80200 and 80211