What is the Greatest Common Factor of 80184 and 80197?

Greatest common factor (GCF) of 80184 and 80197 is 13.

GCF(80184,80197) = 13

We will now calculate the prime factors of 80184 and 80197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80184 and 80197.

How to find the GCF of 80184 and 80197?

We will first find the prime factorization of 80184 and 80197. After we will calculate the factors of 80184 and 80197 and find the biggest common factor number .

Step-1: Prime Factorization of 80184

Prime factors of 80184 are 2, 3, 13, 257. Prime factorization of 80184 in exponential form is:

80184 = 2³ × 3¹ × 13¹ × 257¹

Step-2: Prime Factorization of 80197

Prime factors of 80197 are 13, 31, 199. Prime factorization of 80197 in exponential form is:

80197 = 13¹ × 31¹ × 199¹

Step-3: Factors of 80184

List of positive integer factors of 80184 that divides 80184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 257, 312, 514, 771, 1028, 1542, 2056, 3084, 3341, 6168, 6682, 10023, 13364, 20046, 26728, 40092

Step-4: Factors of 80197

List of positive integer factors of 80197 that divides 80184 without a remainder.

1, 13, 31, 199, 403, 2587, 6169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80184 and 80197. The biggest common factor number is the GCF number.
So the greatest common factor 80184 and 80197 is 13.

Also check out the Least Common Multiple of 80184 and 80197