What is the Greatest Common Factor of 81214 and 81221?

Greatest common factor (GCF) of 81214 and 81221 is 7.

GCF(81214,81221) = 7

We will now calculate the prime factors of 81214 and 81221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81214 and 81221.

How to find the GCF of 81214 and 81221?

We will first find the prime factorization of 81214 and 81221. After we will calculate the factors of 81214 and 81221 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81221

Prime factors of 81221 are 7, 41, 283. Prime factorization of 81221 in exponential form is:

81221 = 7¹ × 41¹ × 283¹

Step-3: Factors of 81214

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

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

Step-4: Factors of 81221

List of positive integer factors of 81221 that divides 81214 without a remainder.

1, 7, 41, 283, 287, 1981, 11603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81214 and 81221. The biggest common factor number is the GCF number.
So the greatest common factor 81214 and 81221 is 7.

Also check out the Least Common Multiple of 81214 and 81221