What is the Greatest Common Factor of 81458 and 81471?

Greatest common factor (GCF) of 81458 and 81471 is 13.

GCF(81458,81471) = 13

We will now calculate the prime factors of 81458 and 81471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81458 and 81471.

How to find the GCF of 81458 and 81471?

We will first find the prime factorization of 81458 and 81471. After we will calculate the factors of 81458 and 81471 and find the biggest common factor number .

Step-1: Prime Factorization of 81458

Prime factors of 81458 are 2, 13, 241. Prime factorization of 81458 in exponential form is:

81458 = 2¹ × 13² × 241¹

Step-2: Prime Factorization of 81471

Prime factors of 81471 are 3, 13, 2089. Prime factorization of 81471 in exponential form is:

81471 = 3¹ × 13¹ × 2089¹

Step-3: Factors of 81458

List of positive integer factors of 81458 that divides 81458 without a remainder.

1, 2, 13, 26, 169, 241, 338, 482, 3133, 6266, 40729

Step-4: Factors of 81471

List of positive integer factors of 81471 that divides 81458 without a remainder.

1, 3, 13, 39, 2089, 6267, 27157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81458 and 81471. The biggest common factor number is the GCF number.
So the greatest common factor 81458 and 81471 is 13.

Also check out the Least Common Multiple of 81458 and 81471