What is the Greatest Common Factor of 41538 and 41554?

Greatest common factor (GCF) of 41538 and 41554 is 2.

GCF(41538,41554) = 2

We will now calculate the prime factors of 41538 and 41554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41538 and 41554.

How to find the GCF of 41538 and 41554?

We will first find the prime factorization of 41538 and 41554. After we will calculate the factors of 41538 and 41554 and find the biggest common factor number .

Step-1: Prime Factorization of 41538

Prime factors of 41538 are 2, 3, 7, 23, 43. Prime factorization of 41538 in exponential form is:

41538 = 2¹ × 3¹ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 41554

Prime factors of 41554 are 2, 79, 263. Prime factorization of 41554 in exponential form is:

41554 = 2¹ × 79¹ × 263¹

Step-3: Factors of 41538

List of positive integer factors of 41538 that divides 41538 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 43, 46, 69, 86, 129, 138, 161, 258, 301, 322, 483, 602, 903, 966, 989, 1806, 1978, 2967, 5934, 6923, 13846, 20769

Step-4: Factors of 41554

List of positive integer factors of 41554 that divides 41538 without a remainder.

1, 2, 79, 158, 263, 526, 20777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41538 and 41554. The biggest common factor number is the GCF number.
So the greatest common factor 41538 and 41554 is 2.

Also check out the Least Common Multiple of 41538 and 41554