What is the Greatest Common Factor of 82414 and 82431?

Greatest common factor (GCF) of 82414 and 82431 is 1.

GCF(82414,82431) = 1

We will now calculate the prime factors of 82414 and 82431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82414 and 82431.

How to find the GCF of 82414 and 82431?

We will first find the prime factorization of 82414 and 82431. After we will calculate the factors of 82414 and 82431 and find the biggest common factor number .

Step-1: Prime Factorization of 82414

Prime factors of 82414 are 2, 89, 463. Prime factorization of 82414 in exponential form is:

82414 = 2¹ × 89¹ × 463¹

Step-2: Prime Factorization of 82431

Prime factors of 82431 are 3, 43, 71. Prime factorization of 82431 in exponential form is:

82431 = 3³ × 43¹ × 71¹

Step-3: Factors of 82414

List of positive integer factors of 82414 that divides 82414 without a remainder.

1, 2, 89, 178, 463, 926, 41207

Step-4: Factors of 82431

List of positive integer factors of 82431 that divides 82414 without a remainder.

1, 3, 9, 27, 43, 71, 129, 213, 387, 639, 1161, 1917, 3053, 9159, 27477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82414 and 82431. The biggest common factor number is the GCF number.
So the greatest common factor 82414 and 82431 is 1.

Also check out the Least Common Multiple of 82414 and 82431