What is the Greatest Common Factor of 80196 and 80200?

Greatest common factor (GCF) of 80196 and 80200 is 4.

GCF(80196,80200) = 4

We will now calculate the prime factors of 80196 and 80200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80196 and 80200.

How to find the GCF of 80196 and 80200?

We will first find the prime factorization of 80196 and 80200. After we will calculate the factors of 80196 and 80200 and find the biggest common factor number .

Step-1: Prime Factorization of 80196

Prime factors of 80196 are 2, 3, 41, 163. Prime factorization of 80196 in exponential form is:

80196 = 2² × 3¹ × 41¹ × 163¹

Step-2: 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-3: Factors of 80196

List of positive integer factors of 80196 that divides 80196 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 163, 164, 246, 326, 489, 492, 652, 978, 1956, 6683, 13366, 20049, 26732, 40098

Step-4: Factors of 80200

List of positive integer factors of 80200 that divides 80196 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80196 and 80200. The biggest common factor number is the GCF number.
So the greatest common factor 80196 and 80200 is 4.

Also check out the Least Common Multiple of 80196 and 80200