What is the Greatest Common Factor of 41454 and 41468?

Greatest common factor (GCF) of 41454 and 41468 is 14.

GCF(41454,41468) = 14

We will now calculate the prime factors of 41454 and 41468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41454 and 41468.

How to find the GCF of 41454 and 41468?

We will first find the prime factorization of 41454 and 41468. After we will calculate the factors of 41454 and 41468 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 41468

Prime factors of 41468 are 2, 7, 1481. Prime factorization of 41468 in exponential form is:

41468 = 2² × 7¹ × 1481¹

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 41468

List of positive integer factors of 41468 that divides 41454 without a remainder.

1, 2, 4, 7, 14, 28, 1481, 2962, 5924, 10367, 20734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41454 and 41468. The biggest common factor number is the GCF number.
So the greatest common factor 41454 and 41468 is 14.

Also check out the Least Common Multiple of 41454 and 41468