What is the Greatest Common Factor of 41454 and 41471?

Greatest common factor (GCF) of 41454 and 41471 is 1.

GCF(41454,41471) = 1

We will now calculate the prime factors of 41454 and 41471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41454 and 41471.

How to find the GCF of 41454 and 41471?

We will first find the prime factorization of 41454 and 41471. After we will calculate the factors of 41454 and 41471 and find the biggest common factor number .

Step-1: Prime Factorization of 41454

Prime factors of 41454 are 2, 3, 7, 47. Prime factorization of 41454 in exponential form is:

41454 = 2¹ × 3² × 7² × 47¹

Step-2: Prime Factorization of 41471

Prime factors of 41471 are 113, 367. Prime factorization of 41471 in exponential form is:

41471 = 113¹ × 367¹

Step-3: Factors of 41454

List of positive integer factors of 41454 that divides 41454 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 49, 63, 94, 98, 126, 141, 147, 282, 294, 329, 423, 441, 658, 846, 882, 987, 1974, 2303, 2961, 4606, 5922, 6909, 13818, 20727

Step-4: Factors of 41471

List of positive integer factors of 41471 that divides 41454 without a remainder.

1, 113, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41454 and 41471. The biggest common factor number is the GCF number.
So the greatest common factor 41454 and 41471 is 1.

Also check out the Least Common Multiple of 41454 and 41471