What is the Greatest Common Factor of 41436 and 41454?

Greatest common factor (GCF) of 41436 and 41454 is 18.

GCF(41436,41454) = 18

We will now calculate the prime factors of 41436 and 41454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41436 and 41454.

How to find the GCF of 41436 and 41454?

We will first find the prime factorization of 41436 and 41454. After we will calculate the factors of 41436 and 41454 and find the biggest common factor number .

Step-1: Prime Factorization of 41436

Prime factors of 41436 are 2, 3, 1151. Prime factorization of 41436 in exponential form is:

41436 = 2² × 3² × 1151¹

Step-2: 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-3: Factors of 41436

List of positive integer factors of 41436 that divides 41436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1151, 2302, 3453, 4604, 6906, 10359, 13812, 20718

Step-4: Factors of 41454

List of positive integer factors of 41454 that divides 41436 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41436 and 41454. The biggest common factor number is the GCF number.
So the greatest common factor 41436 and 41454 is 18.

Also check out the Least Common Multiple of 41436 and 41454