What is the Greatest Common Factor of 81198 and 81214?

Greatest common factor (GCF) of 81198 and 81214 is 2.

GCF(81198,81214) = 2

We will now calculate the prime factors of 81198 and 81214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81198 and 81214.

How to find the GCF of 81198 and 81214?

We will first find the prime factorization of 81198 and 81214. After we will calculate the factors of 81198 and 81214 and find the biggest common factor number .

Step-1: Prime Factorization of 81198

Prime factors of 81198 are 2, 3, 13, 347. Prime factorization of 81198 in exponential form is:

81198 = 2¹ × 3² × 13¹ × 347¹

Step-2: Prime Factorization of 81214

Prime factors of 81214 are 2, 7, 5801. Prime factorization of 81214 in exponential form is:

81214 = 2¹ × 7¹ × 5801¹

Step-3: Factors of 81198

List of positive integer factors of 81198 that divides 81198 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 347, 694, 1041, 2082, 3123, 4511, 6246, 9022, 13533, 27066, 40599

Step-4: Factors of 81214

List of positive integer factors of 81214 that divides 81198 without a remainder.

1, 2, 7, 14, 5801, 11602, 40607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81198 and 81214. The biggest common factor number is the GCF number.
So the greatest common factor 81198 and 81214 is 2.

Also check out the Least Common Multiple of 81198 and 81214